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Finding the Third Proportional to 373,716 and 564,462

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Solution

The third proportional to 373,716 and 564,462 is: 852,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,716 : 564,462 = 564,462 : x
  2. Step 2: Convert to fraction form
    373,716/564,462 = 564,462/x
  3. Step 3: Cross multiply
    373,716x = 564,462 × 564,462
  4. Step 4: Simplify right side
    373,716x = 318,617,349,444
  5. Step 5: Solve for x
    x = 318,617,349,444/373,716
  6. Step 6: Final answer
    x = 852,565.45

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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.