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Finding the Third Proportional to 676,113.75 and 1,052,929.13

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Solution

The third proportional to 676,113.75 and 1,052,929.13 is: 1,639,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,113.75 : 1,052,929.13 = 1,052,929.13 : x
  2. Step 2: Convert to fraction form
    676,113.75/1,052,929.13 = 1,052,929.13/x
  3. Step 3: Cross multiply
    676,113.75x = 1,052,929.13 × 1,052,929.13
  4. Step 4: Simplify right side
    676,113.75x = 1,108,659,742,273.27
  5. Step 5: Solve for x
    x = 1,108,659,742,273.27/676,113.75
  6. Step 6: Final answer
    x = 1,639,753.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.