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Finding the Third Proportional to 242,356.50 and 517,699.50

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Solution

The third proportional to 242,356.50 and 517,699.50 is: 1,105,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,356.50 : 517,699.50 = 517,699.50 : x
  2. Step 2: Convert to fraction form
    242,356.50/517,699.50 = 517,699.50/x
  3. Step 3: Cross multiply
    242,356.50x = 517,699.50 × 517,699.50
  4. Step 4: Simplify right side
    242,356.50x = 268,012,772,300.25
  5. Step 5: Solve for x
    x = 268,012,772,300.25/242,356.50
  6. Step 6: Final answer
    x = 1,105,861.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.