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Finding the Third Proportional to 317,460 and 432,318

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Solution

The third proportional to 317,460 and 432,318 is: 588,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460 : 432,318 = 432,318 : x
  2. Step 2: Convert to fraction form
    317,460/432,318 = 432,318/x
  3. Step 3: Cross multiply
    317,460x = 432,318 × 432,318
  4. Step 4: Simplify right side
    317,460x = 186,898,853,124
  5. Step 5: Solve for x
    x = 186,898,853,124/317,460
  6. Step 6: Final answer
    x = 588,731.98

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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.