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Finding the Third Proportional to 242,688.66 and 379,877.34

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Solution

The third proportional to 242,688.66 and 379,877.34 is: 594,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,688.66 : 379,877.34 = 379,877.34 : x
  2. Step 2: Convert to fraction form
    242,688.66/379,877.34 = 379,877.34/x
  3. Step 3: Cross multiply
    242,688.66x = 379,877.34 × 379,877.34
  4. Step 4: Simplify right side
    242,688.66x = 144,306,796,294.56
  5. Step 5: Solve for x
    x = 144,306,796,294.56/242,688.66
  6. Step 6: Final answer
    x = 594,616.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.