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Finding the Third Proportional to 335,182.50 and 468,854.25

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Solution

The third proportional to 335,182.50 and 468,854.25 is: 655,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,182.50 : 468,854.25 = 468,854.25 : x
  2. Step 2: Convert to fraction form
    335,182.50/468,854.25 = 468,854.25/x
  3. Step 3: Cross multiply
    335,182.50x = 468,854.25 × 468,854.25
  4. Step 4: Simplify right side
    335,182.50x = 219,824,307,743.06
  5. Step 5: Solve for x
    x = 219,824,307,743.06/335,182.50
  6. Step 6: Final answer
    x = 655,834.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.