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Finding the Third Proportional to 565,957.13 and 854,231.06

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Solution

The third proportional to 565,957.13 and 854,231.06 is: 1,289,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,957.13 : 854,231.06 = 854,231.06 : x
  2. Step 2: Convert to fraction form
    565,957.13/854,231.06 = 854,231.06/x
  3. Step 3: Cross multiply
    565,957.13x = 854,231.06 × 854,231.06
  4. Step 4: Simplify right side
    565,957.13x = 729,710,708,139.88
  5. Step 5: Solve for x
    x = 729,710,708,139.88/565,957.13
  6. Step 6: Final answer
    x = 1,289,339.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.