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Finding the Third Proportional to 306,748 and 473,802

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Solution

The third proportional to 306,748 and 473,802 is: 731,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,748 : 473,802 = 473,802 : x
  2. Step 2: Convert to fraction form
    306,748/473,802 = 473,802/x
  3. Step 3: Cross multiply
    306,748x = 473,802 × 473,802
  4. Step 4: Simplify right side
    306,748x = 224,488,335,204
  5. Step 5: Solve for x
    x = 224,488,335,204/306,748
  6. Step 6: Final answer
    x = 731,833.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.