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Finding the Third Proportional to 265,451.50 and 575,180

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Solution

The third proportional to 265,451.50 and 575,180 is: 1,246,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,451.50 : 575,180 = 575,180 : x
  2. Step 2: Convert to fraction form
    265,451.50/575,180 = 575,180/x
  3. Step 3: Cross multiply
    265,451.50x = 575,180 × 575,180
  4. Step 4: Simplify right side
    265,451.50x = 330,832,032,400
  5. Step 5: Solve for x
    x = 330,832,032,400/265,451.50
  6. Step 6: Final answer
    x = 1,246,299.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.