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Finding the Third Proportional to 207,747 and 446,528

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Solution

The third proportional to 207,747 and 446,528 is: 959,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,747 : 446,528 = 446,528 : x
  2. Step 2: Convert to fraction form
    207,747/446,528 = 446,528/x
  3. Step 3: Cross multiply
    207,747x = 446,528 × 446,528
  4. Step 4: Simplify right side
    207,747x = 199,387,254,784
  5. Step 5: Solve for x
    x = 199,387,254,784/207,747
  6. Step 6: Final answer
    x = 959,759.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.