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Finding the Third Proportional to 223,780.50 and 486,913.50

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Solution

The third proportional to 223,780.50 and 486,913.50 is: 1,059,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,780.50 : 486,913.50 = 486,913.50 : x
  2. Step 2: Convert to fraction form
    223,780.50/486,913.50 = 486,913.50/x
  3. Step 3: Cross multiply
    223,780.50x = 486,913.50 × 486,913.50
  4. Step 4: Simplify right side
    223,780.50x = 237,084,756,482.25
  5. Step 5: Solve for x
    x = 237,084,756,482.25/223,780.50
  6. Step 6: Final answer
    x = 1,059,452.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.