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Finding the Third Proportional to 251,539 and 357,628.50

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Solution

The third proportional to 251,539 and 357,628.50 is: 508,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,539 : 357,628.50 = 357,628.50 : x
  2. Step 2: Convert to fraction form
    251,539/357,628.50 = 357,628.50/x
  3. Step 3: Cross multiply
    251,539x = 357,628.50 × 357,628.50
  4. Step 4: Simplify right side
    251,539x = 127,898,144,012.25
  5. Step 5: Solve for x
    x = 127,898,144,012.25/251,539
  6. Step 6: Final answer
    x = 508,462.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.