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Finding the Third Proportional to 255,188 and 536,499

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Solution

The third proportional to 255,188 and 536,499 is: 1,127,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,188 : 536,499 = 536,499 : x
  2. Step 2: Convert to fraction form
    255,188/536,499 = 536,499/x
  3. Step 3: Cross multiply
    255,188x = 536,499 × 536,499
  4. Step 4: Simplify right side
    255,188x = 287,831,177,001
  5. Step 5: Solve for x
    x = 287,831,177,001/255,188
  6. Step 6: Final answer
    x = 1,127,918.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.