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Finding the Third Proportional to 564,259.50 and 1,217,095.88

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Solution

The third proportional to 564,259.50 and 1,217,095.88 is: 2,625,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,259.50 : 1,217,095.88 = 1,217,095.88 : x
  2. Step 2: Convert to fraction form
    564,259.50/1,217,095.88 = 1,217,095.88/x
  3. Step 3: Cross multiply
    564,259.50x = 1,217,095.88 × 1,217,095.88
  4. Step 4: Simplify right side
    564,259.50x = 1,481,322,368,942.02
  5. Step 5: Solve for x
    x = 1,481,322,368,942.02/564,259.50
  6. Step 6: Final answer
    x = 2,625,250.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.