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Finding the Third Proportional to 265,963.50 and 571,232.25

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Solution

The third proportional to 265,963.50 and 571,232.25 is: 1,226,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,963.50 : 571,232.25 = 571,232.25 : x
  2. Step 2: Convert to fraction form
    265,963.50/571,232.25 = 571,232.25/x
  3. Step 3: Cross multiply
    265,963.50x = 571,232.25 × 571,232.25
  4. Step 4: Simplify right side
    265,963.50x = 326,306,283,440.06
  5. Step 5: Solve for x
    x = 326,306,283,440.06/265,963.50
  6. Step 6: Final answer
    x = 1,226,883.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.