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Finding the Third Proportional to 317,046.38 and 702,452.25

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Solution

The third proportional to 317,046.38 and 702,452.25 is: 1,556,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,046.38 : 702,452.25 = 702,452.25 : x
  2. Step 2: Convert to fraction form
    317,046.38/702,452.25 = 702,452.25/x
  3. Step 3: Cross multiply
    317,046.38x = 702,452.25 × 702,452.25
  4. Step 4: Simplify right side
    317,046.38x = 493,439,163,530.06
  5. Step 5: Solve for x
    x = 493,439,163,530.06/317,046.38
  6. Step 6: Final answer
    x = 1,556,362.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.