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Finding the Third Proportional to 423,013.50 and 866,659.50

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Solution

The third proportional to 423,013.50 and 866,659.50 is: 1,775,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,013.50 : 866,659.50 = 866,659.50 : x
  2. Step 2: Convert to fraction form
    423,013.50/866,659.50 = 866,659.50/x
  3. Step 3: Cross multiply
    423,013.50x = 866,659.50 × 866,659.50
  4. Step 4: Simplify right side
    423,013.50x = 751,098,688,940.25
  5. Step 5: Solve for x
    x = 751,098,688,940.25/423,013.50
  6. Step 6: Final answer
    x = 1,775,590.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.