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Finding the Third Proportional to 595,008.75 and 1,308,115.13

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Solution

The third proportional to 595,008.75 and 1,308,115.13 is: 2,875,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,008.75 : 1,308,115.13 = 1,308,115.13 : x
  2. Step 2: Convert to fraction form
    595,008.75/1,308,115.13 = 1,308,115.13/x
  3. Step 3: Cross multiply
    595,008.75x = 1,308,115.13 × 1,308,115.13
  4. Step 4: Simplify right side
    595,008.75x = 1,711,165,180,253.77
  5. Step 5: Solve for x
    x = 1,711,165,180,253.77/595,008.75
  6. Step 6: Final answer
    x = 2,875,865.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.