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Finding the Third Proportional to 323,020 and 754,459

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Solution

The third proportional to 323,020 and 754,459 is: 1,762,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,020 : 754,459 = 754,459 : x
  2. Step 2: Convert to fraction form
    323,020/754,459 = 754,459/x
  3. Step 3: Cross multiply
    323,020x = 754,459 × 754,459
  4. Step 4: Simplify right side
    323,020x = 569,208,382,681
  5. Step 5: Solve for x
    x = 569,208,382,681/323,020
  6. Step 6: Final answer
    x = 1,762,145.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.