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Finding the Third Proportional to 209,853 and 453,210.75

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Solution

The third proportional to 209,853 and 453,210.75 is: 978,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853 : 453,210.75 = 453,210.75 : x
  2. Step 2: Convert to fraction form
    209,853/453,210.75 = 453,210.75/x
  3. Step 3: Cross multiply
    209,853x = 453,210.75 × 453,210.75
  4. Step 4: Simplify right side
    209,853x = 205,399,983,915.56
  5. Step 5: Solve for x
    x = 205,399,983,915.56/209,853
  6. Step 6: Final answer
    x = 978,780.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.