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Finding the Third Proportional to 559,074.66 and 886,657.64

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Solution

The third proportional to 559,074.66 and 886,657.64 is: 1,406,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,074.66 : 886,657.64 = 886,657.64 : x
  2. Step 2: Convert to fraction form
    559,074.66/886,657.64 = 886,657.64/x
  3. Step 3: Cross multiply
    559,074.66x = 886,657.64 × 886,657.64
  4. Step 4: Simplify right side
    559,074.66x = 786,161,771,678.69
  5. Step 5: Solve for x
    x = 786,161,771,678.69/559,074.66
  6. Step 6: Final answer
    x = 1,406,183.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.