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Finding the Third Proportional to 317,734 and 469,207

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Solution

The third proportional to 317,734 and 469,207 is: 692,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,734 : 469,207 = 469,207 : x
  2. Step 2: Convert to fraction form
    317,734/469,207 = 469,207/x
  3. Step 3: Cross multiply
    317,734x = 469,207 × 469,207
  4. Step 4: Simplify right side
    317,734x = 220,155,208,849
  5. Step 5: Solve for x
    x = 220,155,208,849/317,734
  6. Step 6: Final answer
    x = 692,891.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.