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Finding the Third Proportional to 373,732 and 564,486

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Solution

The third proportional to 373,732 and 564,486 is: 852,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,732 : 564,486 = 564,486 : x
  2. Step 2: Convert to fraction form
    373,732/564,486 = 564,486/x
  3. Step 3: Cross multiply
    373,732x = 564,486 × 564,486
  4. Step 4: Simplify right side
    373,732x = 318,644,444,196
  5. Step 5: Solve for x
    x = 318,644,444,196/373,732
  6. Step 6: Final answer
    x = 852,601.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.