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Finding the Third Proportional to 502,348 and 754,646

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Solution

The third proportional to 502,348 and 754,646 is: 1,133,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,348 : 754,646 = 754,646 : x
  2. Step 2: Convert to fraction form
    502,348/754,646 = 754,646/x
  3. Step 3: Cross multiply
    502,348x = 754,646 × 754,646
  4. Step 4: Simplify right side
    502,348x = 569,490,585,316
  5. Step 5: Solve for x
    x = 569,490,585,316/502,348
  6. Step 6: Final answer
    x = 1,133,657.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.