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Finding the Third Proportional to 316,527 and 453,414

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Solution

The third proportional to 316,527 and 453,414 is: 649,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,527 : 453,414 = 453,414 : x
  2. Step 2: Convert to fraction form
    316,527/453,414 = 453,414/x
  3. Step 3: Cross multiply
    316,527x = 453,414 × 453,414
  4. Step 4: Simplify right side
    316,527x = 205,584,255,396
  5. Step 5: Solve for x
    x = 205,584,255,396/316,527
  6. Step 6: Final answer
    x = 649,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.