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Finding the Third Proportional to 564,251.06 and 874,670.91

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Solution

The third proportional to 564,251.06 and 874,670.91 is: 1,355,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,251.06 : 874,670.91 = 874,670.91 : x
  2. Step 2: Convert to fraction form
    564,251.06/874,670.91 = 874,670.91/x
  3. Step 3: Cross multiply
    564,251.06x = 874,670.91 × 874,670.91
  4. Step 4: Simplify right side
    564,251.06x = 765,049,194,240.20
  5. Step 5: Solve for x
    x = 765,049,194,240.20/564,251.06
  6. Step 6: Final answer
    x = 1,355,866.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.