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Finding the Third Proportional to 209,332 and 453,416

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Solution

The third proportional to 209,332 and 453,416 is: 982,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,332 : 453,416 = 453,416 : x
  2. Step 2: Convert to fraction form
    209,332/453,416 = 453,416/x
  3. Step 3: Cross multiply
    209,332x = 453,416 × 453,416
  4. Step 4: Simplify right side
    209,332x = 205,586,069,056
  5. Step 5: Solve for x
    x = 205,586,069,056/209,332
  6. Step 6: Final answer
    x = 982,105.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.