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Finding the Third Proportional to 370,432 and 573,952

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Solution

The third proportional to 370,432 and 573,952 is: 889,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,432 : 573,952 = 573,952 : x
  2. Step 2: Convert to fraction form
    370,432/573,952 = 573,952/x
  3. Step 3: Cross multiply
    370,432x = 573,952 × 573,952
  4. Step 4: Simplify right side
    370,432x = 329,420,898,304
  5. Step 5: Solve for x
    x = 329,420,898,304/370,432
  6. Step 6: Final answer
    x = 889,288.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.