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Finding the Third Proportional to 458,758.13 and 1,079,365.50

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Solution

The third proportional to 458,758.13 and 1,079,365.50 is: 2,539,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,758.13 : 1,079,365.50 = 1,079,365.50 : x
  2. Step 2: Convert to fraction form
    458,758.13/1,079,365.50 = 1,079,365.50/x
  3. Step 3: Cross multiply
    458,758.13x = 1,079,365.50 × 1,079,365.50
  4. Step 4: Simplify right side
    458,758.13x = 1,165,029,882,590.25
  5. Step 5: Solve for x
    x = 1,165,029,882,590.25/458,758.13
  6. Step 6: Final answer
    x = 2,539,529.70

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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.