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Finding the Third Proportional to 526,468.50 and 814,509

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Solution

The third proportional to 526,468.50 and 814,509 is: 1,260,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,468.50 : 814,509 = 814,509 : x
  2. Step 2: Convert to fraction form
    526,468.50/814,509 = 814,509/x
  3. Step 3: Cross multiply
    526,468.50x = 814,509 × 814,509
  4. Step 4: Simplify right side
    526,468.50x = 663,424,911,081
  5. Step 5: Solve for x
    x = 663,424,911,081/526,468.50
  6. Step 6: Final answer
    x = 1,260,141.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.