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Finding the Third Proportional to 387,076 and 829,448

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Solution

The third proportional to 387,076 and 829,448 is: 1,777,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,076 : 829,448 = 829,448 : x
  2. Step 2: Convert to fraction form
    387,076/829,448 = 829,448/x
  3. Step 3: Cross multiply
    387,076x = 829,448 × 829,448
  4. Step 4: Simplify right side
    387,076x = 687,983,984,704
  5. Step 5: Solve for x
    x = 687,983,984,704/387,076
  6. Step 6: Final answer
    x = 1,777,387.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.