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Finding the Third Proportional to 268,120.13 and 393,967.13

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Solution

The third proportional to 268,120.13 and 393,967.13 is: 578,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,120.13 : 393,967.13 = 393,967.13 : x
  2. Step 2: Convert to fraction form
    268,120.13/393,967.13 = 393,967.13/x
  3. Step 3: Cross multiply
    268,120.13x = 393,967.13 × 393,967.13
  4. Step 4: Simplify right side
    268,120.13x = 155,210,095,580.77
  5. Step 5: Solve for x
    x = 155,210,095,580.77/268,120.13
  6. Step 6: Final answer
    x = 578,882.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.