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Finding the Third Proportional to 467,528 and 661,548

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Solution

The third proportional to 467,528 and 661,548 is: 936,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,528 : 661,548 = 661,548 : x
  2. Step 2: Convert to fraction form
    467,528/661,548 = 661,548/x
  3. Step 3: Cross multiply
    467,528x = 661,548 × 661,548
  4. Step 4: Simplify right side
    467,528x = 437,645,756,304
  5. Step 5: Solve for x
    x = 437,645,756,304/467,528
  6. Step 6: Final answer
    x = 936,084.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.