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Finding the Third Proportional to 474,384 and 732,528

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Solution

The third proportional to 474,384 and 732,528 is: 1,131,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,384 : 732,528 = 732,528 : x
  2. Step 2: Convert to fraction form
    474,384/732,528 = 732,528/x
  3. Step 3: Cross multiply
    474,384x = 732,528 × 732,528
  4. Step 4: Simplify right side
    474,384x = 536,597,270,784
  5. Step 5: Solve for x
    x = 536,597,270,784/474,384
  6. Step 6: Final answer
    x = 1,131,145.38

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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.