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Finding the Third Proportional to 269,851.50 and 402,590.25

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Solution

The third proportional to 269,851.50 and 402,590.25 is: 600,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,851.50 : 402,590.25 = 402,590.25 : x
  2. Step 2: Convert to fraction form
    269,851.50/402,590.25 = 402,590.25/x
  3. Step 3: Cross multiply
    269,851.50x = 402,590.25 × 402,590.25
  4. Step 4: Simplify right side
    269,851.50x = 162,078,909,395.06
  5. Step 5: Solve for x
    x = 162,078,909,395.06/269,851.50
  6. Step 6: Final answer
    x = 600,622.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.