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Finding the Third Proportional to 317,217 and 463,164

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Solution

The third proportional to 317,217 and 463,164 is: 676,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,217 : 463,164 = 463,164 : x
  2. Step 2: Convert to fraction form
    317,217/463,164 = 463,164/x
  3. Step 3: Cross multiply
    317,217x = 463,164 × 463,164
  4. Step 4: Simplify right side
    317,217x = 214,520,890,896
  5. Step 5: Solve for x
    x = 214,520,890,896/317,217
  6. Step 6: Final answer
    x = 676,259.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.