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Finding the Third Proportional to 431,119.13 and 935,590.50

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Solution

The third proportional to 431,119.13 and 935,590.50 is: 2,030,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,119.13 : 935,590.50 = 935,590.50 : x
  2. Step 2: Convert to fraction form
    431,119.13/935,590.50 = 935,590.50/x
  3. Step 3: Cross multiply
    431,119.13x = 935,590.50 × 935,590.50
  4. Step 4: Simplify right side
    431,119.13x = 875,329,583,690.25
  5. Step 5: Solve for x
    x = 875,329,583,690.25/431,119.13
  6. Step 6: Final answer
    x = 2,030,365.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.