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Finding the Third Proportional to 317,462 and 432,321

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Solution

The third proportional to 317,462 and 432,321 is: 588,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,462 : 432,321 = 432,321 : x
  2. Step 2: Convert to fraction form
    317,462/432,321 = 432,321/x
  3. Step 3: Cross multiply
    317,462x = 432,321 × 432,321
  4. Step 4: Simplify right side
    317,462x = 186,901,447,041
  5. Step 5: Solve for x
    x = 186,901,447,041/317,462
  6. Step 6: Final answer
    x = 588,736.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.