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Finding the Third Proportional to 564,727 and 828,252.50

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Solution

The third proportional to 564,727 and 828,252.50 is: 1,214,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,727 : 828,252.50 = 828,252.50 : x
  2. Step 2: Convert to fraction form
    564,727/828,252.50 = 828,252.50/x
  3. Step 3: Cross multiply
    564,727x = 828,252.50 × 828,252.50
  4. Step 4: Simplify right side
    564,727x = 686,002,203,756.25
  5. Step 5: Solve for x
    x = 686,002,203,756.25/564,727
  6. Step 6: Final answer
    x = 1,214,750.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.