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Finding the Third Proportional to 316,568.25 and 453,478.50

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Solution

The third proportional to 316,568.25 and 453,478.50 is: 649,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,568.25 : 453,478.50 = 453,478.50 : x
  2. Step 2: Convert to fraction form
    316,568.25/453,478.50 = 453,478.50/x
  3. Step 3: Cross multiply
    316,568.25x = 453,478.50 × 453,478.50
  4. Step 4: Simplify right side
    316,568.25x = 205,642,749,962.25
  5. Step 5: Solve for x
    x = 205,642,749,962.25/316,568.25
  6. Step 6: Final answer
    x = 649,600.05

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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.