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Finding the Third Proportional to 513,207 and 754,065

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Solution

The third proportional to 513,207 and 754,065 is: 1,107,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,207 : 754,065 = 754,065 : x
  2. Step 2: Convert to fraction form
    513,207/754,065 = 754,065/x
  3. Step 3: Cross multiply
    513,207x = 754,065 × 754,065
  4. Step 4: Simplify right side
    513,207x = 568,614,024,225
  5. Step 5: Solve for x
    x = 568,614,024,225/513,207
  6. Step 6: Final answer
    x = 1,107,962.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.