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Finding the Third Proportional to 243,309 and 387,445.50

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Solution

The third proportional to 243,309 and 387,445.50 is: 616,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309 : 387,445.50 = 387,445.50 : x
  2. Step 2: Convert to fraction form
    243,309/387,445.50 = 387,445.50/x
  3. Step 3: Cross multiply
    243,309x = 387,445.50 × 387,445.50
  4. Step 4: Simplify right side
    243,309x = 150,114,015,470.25
  5. Step 5: Solve for x
    x = 150,114,015,470.25/243,309
  6. Step 6: Final answer
    x = 616,968.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.