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Finding the Third Proportional to 407,618 and 587,126

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Solution

The third proportional to 407,618 and 587,126 is: 845,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,618 : 587,126 = 587,126 : x
  2. Step 2: Convert to fraction form
    407,618/587,126 = 587,126/x
  3. Step 3: Cross multiply
    407,618x = 587,126 × 587,126
  4. Step 4: Simplify right side
    407,618x = 344,716,939,876
  5. Step 5: Solve for x
    x = 344,716,939,876/407,618
  6. Step 6: Final answer
    x = 845,686.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.