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Finding the Third Proportional to 391,842 and 586,243.50

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Solution

The third proportional to 391,842 and 586,243.50 is: 877,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,842 : 586,243.50 = 586,243.50 : x
  2. Step 2: Convert to fraction form
    391,842/586,243.50 = 586,243.50/x
  3. Step 3: Cross multiply
    391,842x = 586,243.50 × 586,243.50
  4. Step 4: Simplify right side
    391,842x = 343,681,441,292.25
  5. Step 5: Solve for x
    x = 343,681,441,292.25/391,842
  6. Step 6: Final answer
    x = 877,091.89

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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.