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Finding the Third Proportional to 517,064,674.50 and 773,765,034.75

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Solution

The third proportional to 517,064,674.50 and 773,765,034.75 is: 1,157,906,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,064,674.50 : 773,765,034.75 = 773,765,034.75 : x
  2. Step 2: Convert to fraction form
    517,064,674.50/773,765,034.75 = 773,765,034.75/x
  3. Step 3: Cross multiply
    517,064,674.50x = 773,765,034.75 × 773,765,034.75
  4. Step 4: Simplify right side
    517,064,674.50x = 598,712,329,001,668,736
  5. Step 5: Solve for x
    x = 598,712,329,001,668,736/517,064,674.50
  6. Step 6: Final answer
    x = 1,157,906,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.