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Finding the Third Proportional to 564,097.50 and 847,239.75

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Solution

The third proportional to 564,097.50 and 847,239.75 is: 1,272,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,097.50 : 847,239.75 = 847,239.75 : x
  2. Step 2: Convert to fraction form
    564,097.50/847,239.75 = 847,239.75/x
  3. Step 3: Cross multiply
    564,097.50x = 847,239.75 × 847,239.75
  4. Step 4: Simplify right side
    564,097.50x = 717,815,193,980.06
  5. Step 5: Solve for x
    x = 717,815,193,980.06/564,097.50
  6. Step 6: Final answer
    x = 1,272,501.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.