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Finding the Third Proportional to 225,084.50 and 487,537

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Solution

The third proportional to 225,084.50 and 487,537 is: 1,056,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,084.50 : 487,537 = 487,537 : x
  2. Step 2: Convert to fraction form
    225,084.50/487,537 = 487,537/x
  3. Step 3: Cross multiply
    225,084.50x = 487,537 × 487,537
  4. Step 4: Simplify right side
    225,084.50x = 237,692,326,369
  5. Step 5: Solve for x
    x = 237,692,326,369/225,084.50
  6. Step 6: Final answer
    x = 1,056,013.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.