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Finding the Third Proportional to 317,188 and 432,030

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Solution

The third proportional to 317,188 and 432,030 is: 588,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,188 : 432,030 = 432,030 : x
  2. Step 2: Convert to fraction form
    317,188/432,030 = 432,030/x
  3. Step 3: Cross multiply
    317,188x = 432,030 × 432,030
  4. Step 4: Simplify right side
    317,188x = 186,649,920,900
  5. Step 5: Solve for x
    x = 186,649,920,900/317,188
  6. Step 6: Final answer
    x = 588,452.02

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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.