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Finding the Third Proportional to 238,538.25 and 514,444.50

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Solution

The third proportional to 238,538.25 and 514,444.50 is: 1,109,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,538.25 : 514,444.50 = 514,444.50 : x
  2. Step 2: Convert to fraction form
    238,538.25/514,444.50 = 514,444.50/x
  3. Step 3: Cross multiply
    238,538.25x = 514,444.50 × 514,444.50
  4. Step 4: Simplify right side
    238,538.25x = 264,653,143,580.25
  5. Step 5: Solve for x
    x = 264,653,143,580.25/238,538.25
  6. Step 6: Final answer
    x = 1,109,478.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.