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Finding the Third Proportional to 243,909 and 375,367.50

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Solution

The third proportional to 243,909 and 375,367.50 is: 577,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,909 : 375,367.50 = 375,367.50 : x
  2. Step 2: Convert to fraction form
    243,909/375,367.50 = 375,367.50/x
  3. Step 3: Cross multiply
    243,909x = 375,367.50 × 375,367.50
  4. Step 4: Simplify right side
    243,909x = 140,900,760,056.25
  5. Step 5: Solve for x
    x = 140,900,760,056.25/243,909
  6. Step 6: Final answer
    x = 577,677.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.