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Finding the Third Proportional to 299,348 and 473,919

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Solution

The third proportional to 299,348 and 473,919 is: 750,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348 : 473,919 = 473,919 : x
  2. Step 2: Convert to fraction form
    299,348/473,919 = 473,919/x
  3. Step 3: Cross multiply
    299,348x = 473,919 × 473,919
  4. Step 4: Simplify right side
    299,348x = 224,599,218,561
  5. Step 5: Solve for x
    x = 224,599,218,561/299,348
  6. Step 6: Final answer
    x = 750,294.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.