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Finding the Third Proportional to 379,730 and 808,548

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Solution

The third proportional to 379,730 and 808,548 is: 1,721,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,730 : 808,548 = 808,548 : x
  2. Step 2: Convert to fraction form
    379,730/808,548 = 808,548/x
  3. Step 3: Cross multiply
    379,730x = 808,548 × 808,548
  4. Step 4: Simplify right side
    379,730x = 653,749,868,304
  5. Step 5: Solve for x
    x = 653,749,868,304/379,730
  6. Step 6: Final answer
    x = 1,721,617.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.