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Finding the Third Proportional to 517,532 and 773,106

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Solution

The third proportional to 517,532 and 773,106 is: 1,154,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,532 : 773,106 = 773,106 : x
  2. Step 2: Convert to fraction form
    517,532/773,106 = 773,106/x
  3. Step 3: Cross multiply
    517,532x = 773,106 × 773,106
  4. Step 4: Simplify right side
    517,532x = 597,692,887,236
  5. Step 5: Solve for x
    x = 597,692,887,236/517,532
  6. Step 6: Final answer
    x = 1,154,890.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.