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Finding the Third Proportional to 284,097.38 and 473,439.94

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Solution

The third proportional to 284,097.38 and 473,439.94 is: 788,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.38 : 473,439.94 = 473,439.94 : x
  2. Step 2: Convert to fraction form
    284,097.38/473,439.94 = 473,439.94/x
  3. Step 3: Cross multiply
    284,097.38x = 473,439.94 × 473,439.94
  4. Step 4: Simplify right side
    284,097.38x = 224,145,374,420.00
  5. Step 5: Solve for x
    x = 224,145,374,420.00/284,097.38
  6. Step 6: Final answer
    x = 788,973.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.