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Finding the Third Proportional to 516,498.75 and 1,115,989.50

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Solution

The third proportional to 516,498.75 and 1,115,989.50 is: 2,411,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,498.75 : 1,115,989.50 = 1,115,989.50 : x
  2. Step 2: Convert to fraction form
    516,498.75/1,115,989.50 = 1,115,989.50/x
  3. Step 3: Cross multiply
    516,498.75x = 1,115,989.50 × 1,115,989.50
  4. Step 4: Simplify right side
    516,498.75x = 1,245,432,564,110.25
  5. Step 5: Solve for x
    x = 1,245,432,564,110.25/516,498.75
  6. Step 6: Final answer
    x = 2,411,298.31

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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.