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Finding the Third Proportional to 265,590.75 and 400,397.20

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Solution

The third proportional to 265,590.75 and 400,397.20 is: 603,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,590.75 : 400,397.20 = 400,397.20 : x
  2. Step 2: Convert to fraction form
    265,590.75/400,397.20 = 400,397.20/x
  3. Step 3: Cross multiply
    265,590.75x = 400,397.20 × 400,397.20
  4. Step 4: Simplify right side
    265,590.75x = 160,317,916,751.19
  5. Step 5: Solve for x
    x = 160,317,916,751.19/265,590.75
  6. Step 6: Final answer
    x = 603,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.