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Finding the Third Proportional to 564,410 and 864,597

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Solution

The third proportional to 564,410 and 864,597 is: 1,324,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,410 : 864,597 = 864,597 : x
  2. Step 2: Convert to fraction form
    564,410/864,597 = 864,597/x
  3. Step 3: Cross multiply
    564,410x = 864,597 × 864,597
  4. Step 4: Simplify right side
    564,410x = 747,527,972,409
  5. Step 5: Solve for x
    x = 747,527,972,409/564,410
  6. Step 6: Final answer
    x = 1,324,441.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.