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Finding the Third Proportional to 341,617.50 and 473,681.25

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Solution

The third proportional to 341,617.50 and 473,681.25 is: 656,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,617.50 : 473,681.25 = 473,681.25 : x
  2. Step 2: Convert to fraction form
    341,617.50/473,681.25 = 473,681.25/x
  3. Step 3: Cross multiply
    341,617.50x = 473,681.25 × 473,681.25
  4. Step 4: Simplify right side
    341,617.50x = 224,373,926,601.56
  5. Step 5: Solve for x
    x = 224,373,926,601.56/341,617.50
  6. Step 6: Final answer
    x = 656,798.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.