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Finding the Third Proportional to 458,752.50 and 1,079,355.38

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Solution

The third proportional to 458,752.50 and 1,079,355.38 is: 2,539,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,752.50 : 1,079,355.38 = 1,079,355.38 : x
  2. Step 2: Convert to fraction form
    458,752.50/1,079,355.38 = 1,079,355.38/x
  3. Step 3: Cross multiply
    458,752.50x = 1,079,355.38 × 1,079,355.38
  4. Step 4: Simplify right side
    458,752.50x = 1,165,008,025,541.39
  5. Step 5: Solve for x
    x = 1,165,008,025,541.39/458,752.50
  6. Step 6: Final answer
    x = 2,539,513.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.