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Finding the Third Proportional to 259,432.88 and 563,152.50

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Solution

The third proportional to 259,432.88 and 563,152.50 is: 1,222,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,432.88 : 563,152.50 = 563,152.50 : x
  2. Step 2: Convert to fraction form
    259,432.88/563,152.50 = 563,152.50/x
  3. Step 3: Cross multiply
    259,432.88x = 563,152.50 × 563,152.50
  4. Step 4: Simplify right side
    259,432.88x = 317,140,738,256.25
  5. Step 5: Solve for x
    x = 317,140,738,256.25/259,432.88
  6. Step 6: Final answer
    x = 1,222,438.51

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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.