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Finding the Third Proportional to 502,083.88 and 764,890.50

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Solution

The third proportional to 502,083.88 and 764,890.50 is: 1,165,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,083.88 : 764,890.50 = 764,890.50 : x
  2. Step 2: Convert to fraction form
    502,083.88/764,890.50 = 764,890.50/x
  3. Step 3: Cross multiply
    502,083.88x = 764,890.50 × 764,890.50
  4. Step 4: Simplify right side
    502,083.88x = 585,057,476,990.25
  5. Step 5: Solve for x
    x = 585,057,476,990.25/502,083.88
  6. Step 6: Final answer
    x = 1,165,258.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.