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Finding the Third Proportional to 605,434.50 and 936,856.13

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Solution

The third proportional to 605,434.50 and 936,856.13 is: 1,449,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,434.50 : 936,856.13 = 936,856.13 : x
  2. Step 2: Convert to fraction form
    605,434.50/936,856.13 = 936,856.13/x
  3. Step 3: Cross multiply
    605,434.50x = 936,856.13 × 936,856.13
  4. Step 4: Simplify right side
    605,434.50x = 877,699,398,950.02
  5. Step 5: Solve for x
    x = 877,699,398,950.02/605,434.50
  6. Step 6: Final answer
    x = 1,449,701.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.