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Finding the Third Proportional to 509,098 and 754,841

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Solution

The third proportional to 509,098 and 754,841 is: 1,119,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,098 : 754,841 = 754,841 : x
  2. Step 2: Convert to fraction form
    509,098/754,841 = 754,841/x
  3. Step 3: Cross multiply
    509,098x = 754,841 × 754,841
  4. Step 4: Simplify right side
    509,098x = 569,784,935,281
  5. Step 5: Solve for x
    x = 569,784,935,281/509,098
  6. Step 6: Final answer
    x = 1,119,204.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.