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Finding the Third Proportional to 317,212 and 463,159

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Solution

The third proportional to 317,212 and 463,159 is: 676,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,212 : 463,159 = 463,159 : x
  2. Step 2: Convert to fraction form
    317,212/463,159 = 463,159/x
  3. Step 3: Cross multiply
    317,212x = 463,159 × 463,159
  4. Step 4: Simplify right side
    317,212x = 214,516,259,281
  5. Step 5: Solve for x
    x = 214,516,259,281/317,212
  6. Step 6: Final answer
    x = 676,255.18

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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.