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Finding the Third Proportional to 434,499.19 and 908,713.69

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Solution

The third proportional to 434,499.19 and 908,713.69 is: 1,900,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,499.19 : 908,713.69 = 908,713.69 : x
  2. Step 2: Convert to fraction form
    434,499.19/908,713.69 = 908,713.69/x
  3. Step 3: Cross multiply
    434,499.19x = 908,713.69 × 908,713.69
  4. Step 4: Simplify right side
    434,499.19x = 825,760,565,849.85
  5. Step 5: Solve for x
    x = 825,760,565,849.85/434,499.19
  6. Step 6: Final answer
    x = 1,900,488.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.