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Finding the Third Proportional to 584,416.69 and 874,270.13

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Solution

The third proportional to 584,416.69 and 874,270.13 is: 1,307,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,416.69 : 874,270.13 = 874,270.13 : x
  2. Step 2: Convert to fraction form
    584,416.69/874,270.13 = 874,270.13/x
  3. Step 3: Cross multiply
    584,416.69x = 874,270.13 × 874,270.13
  4. Step 4: Simplify right side
    584,416.69x = 764,348,251,467.52
  5. Step 5: Solve for x
    x = 764,348,251,467.52/584,416.69
  6. Step 6: Final answer
    x = 1,307,882.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.