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Finding the Third Proportional to 344,038 and 754,496

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Solution

The third proportional to 344,038 and 754,496 is: 1,654,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,038 : 754,496 = 754,496 : x
  2. Step 2: Convert to fraction form
    344,038/754,496 = 754,496/x
  3. Step 3: Cross multiply
    344,038x = 754,496 × 754,496
  4. Step 4: Simplify right side
    344,038x = 569,264,214,016
  5. Step 5: Solve for x
    x = 569,264,214,016/344,038
  6. Step 6: Final answer
    x = 1,654,655.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.