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Finding the Third Proportional to 243,269.58 and 387,389.46

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Solution

The third proportional to 243,269.58 and 387,389.46 is: 616,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,269.58 : 387,389.46 = 387,389.46 : x
  2. Step 2: Convert to fraction form
    243,269.58/387,389.46 = 387,389.46/x
  3. Step 3: Cross multiply
    243,269.58x = 387,389.46 × 387,389.46
  4. Step 4: Simplify right side
    243,269.58x = 150,070,594,445.45
  5. Step 5: Solve for x
    x = 150,070,594,445.45/243,269.58
  6. Step 6: Final answer
    x = 616,890.10

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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.