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Finding the Third Proportional to 564,248 and 864,084

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Solution

The third proportional to 564,248 and 864,084 is: 1,323,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,248 : 864,084 = 864,084 : x
  2. Step 2: Convert to fraction form
    564,248/864,084 = 864,084/x
  3. Step 3: Cross multiply
    564,248x = 864,084 × 864,084
  4. Step 4: Simplify right side
    564,248x = 746,641,159,056
  5. Step 5: Solve for x
    x = 746,641,159,056/564,248
  6. Step 6: Final answer
    x = 1,323,249.99

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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.