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Finding the Third Proportional to 502,289.25 and 1,102,125.75

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Solution

The third proportional to 502,289.25 and 1,102,125.75 is: 2,418,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,289.25 : 1,102,125.75 = 1,102,125.75 : x
  2. Step 2: Convert to fraction form
    502,289.25/1,102,125.75 = 1,102,125.75/x
  3. Step 3: Cross multiply
    502,289.25x = 1,102,125.75 × 1,102,125.75
  4. Step 4: Simplify right side
    502,289.25x = 1,214,681,168,813.06
  5. Step 5: Solve for x
    x = 1,214,681,168,813.06/502,289.25
  6. Step 6: Final answer
    x = 2,418,290.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.