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Finding the Third Proportional to 468,382.50 and 913,437

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Solution

The third proportional to 468,382.50 and 913,437 is: 1,781,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,382.50 : 913,437 = 913,437 : x
  2. Step 2: Convert to fraction form
    468,382.50/913,437 = 913,437/x
  3. Step 3: Cross multiply
    468,382.50x = 913,437 × 913,437
  4. Step 4: Simplify right side
    468,382.50x = 834,367,152,969
  5. Step 5: Solve for x
    x = 834,367,152,969/468,382.50
  6. Step 6: Final answer
    x = 1,781,379.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.