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Finding the Third Proportional to 209,389.50 and 457,893

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Solution

The third proportional to 209,389.50 and 457,893 is: 1,001,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,389.50 : 457,893 = 457,893 : x
  2. Step 2: Convert to fraction form
    209,389.50/457,893 = 457,893/x
  3. Step 3: Cross multiply
    209,389.50x = 457,893 × 457,893
  4. Step 4: Simplify right side
    209,389.50x = 209,665,999,449
  5. Step 5: Solve for x
    x = 209,665,999,449/209,389.50
  6. Step 6: Final answer
    x = 1,001,320.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.