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Finding the Third Proportional to 295,177.50 and 645,759

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Solution

The third proportional to 295,177.50 and 645,759 is: 1,412,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,177.50 : 645,759 = 645,759 : x
  2. Step 2: Convert to fraction form
    295,177.50/645,759 = 645,759/x
  3. Step 3: Cross multiply
    295,177.50x = 645,759 × 645,759
  4. Step 4: Simplify right side
    295,177.50x = 417,004,686,081
  5. Step 5: Solve for x
    x = 417,004,686,081/295,177.50
  6. Step 6: Final answer
    x = 1,412,725.18

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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.