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Finding the Third Proportional to 257,862.75 and 560,098.50

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Solution

The third proportional to 257,862.75 and 560,098.50 is: 1,216,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,862.75 : 560,098.50 = 560,098.50 : x
  2. Step 2: Convert to fraction form
    257,862.75/560,098.50 = 560,098.50/x
  3. Step 3: Cross multiply
    257,862.75x = 560,098.50 × 560,098.50
  4. Step 4: Simplify right side
    257,862.75x = 313,710,329,702.25
  5. Step 5: Solve for x
    x = 313,710,329,702.25/257,862.75
  6. Step 6: Final answer
    x = 1,216,578.70

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