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Finding the Third Proportional to 415,068.75 and 625,504.50

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Solution

The third proportional to 415,068.75 and 625,504.50 is: 942,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,068.75 : 625,504.50 = 625,504.50 : x
  2. Step 2: Convert to fraction form
    415,068.75/625,504.50 = 625,504.50/x
  3. Step 3: Cross multiply
    415,068.75x = 625,504.50 × 625,504.50
  4. Step 4: Simplify right side
    415,068.75x = 391,255,879,520.25
  5. Step 5: Solve for x
    x = 391,255,879,520.25/415,068.75
  6. Step 6: Final answer
    x = 942,629.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.