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Finding the Third Proportional to 315,432 and 453,412

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Solution

The third proportional to 315,432 and 453,412 is: 651,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,432 : 453,412 = 453,412 : x
  2. Step 2: Convert to fraction form
    315,432/453,412 = 453,412/x
  3. Step 3: Cross multiply
    315,432x = 453,412 × 453,412
  4. Step 4: Simplify right side
    315,432x = 205,582,441,744
  5. Step 5: Solve for x
    x = 205,582,441,744/315,432
  6. Step 6: Final answer
    x = 651,748.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.