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Finding the Third Proportional to 284,158.13 and 607,719.38

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Solution

The third proportional to 284,158.13 and 607,719.38 is: 1,299,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,158.13 : 607,719.38 = 607,719.38 : x
  2. Step 2: Convert to fraction form
    284,158.13/607,719.38 = 607,719.38/x
  3. Step 3: Cross multiply
    284,158.13x = 607,719.38 × 607,719.38
  4. Step 4: Simplify right side
    284,158.13x = 369,322,838,750.39
  5. Step 5: Solve for x
    x = 369,322,838,750.39/284,158.13
  6. Step 6: Final answer
    x = 1,299,708.88

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Why These Related Problems?

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