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Finding the Third Proportional to 315,854.50 and 690,758

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Solution

The third proportional to 315,854.50 and 690,758 is: 1,510,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,854.50 : 690,758 = 690,758 : x
  2. Step 2: Convert to fraction form
    315,854.50/690,758 = 690,758/x
  3. Step 3: Cross multiply
    315,854.50x = 690,758 × 690,758
  4. Step 4: Simplify right side
    315,854.50x = 477,146,614,564
  5. Step 5: Solve for x
    x = 477,146,614,564/315,854.50
  6. Step 6: Final answer
    x = 1,510,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.