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Finding the Third Proportional to 356,724,207 and 783,598,624

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Solution

The third proportional to 356,724,207 and 783,598,624 is: 1,721,292,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724,207 : 783,598,624 = 783,598,624 : x
  2. Step 2: Convert to fraction form
    356,724,207/783,598,624 = 783,598,624/x
  3. Step 3: Cross multiply
    356,724,207x = 783,598,624 × 783,598,624
  4. Step 4: Simplify right side
    356,724,207x = 614,026,803,534,693,376
  5. Step 5: Solve for x
    x = 614,026,803,534,693,376/356,724,207
  6. Step 6: Final answer
    x = 1,721,292,784.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.