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Finding the Third Proportional to 262,332 and 575,100

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Solution

The third proportional to 262,332 and 575,100 is: 1,260,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,332 : 575,100 = 575,100 : x
  2. Step 2: Convert to fraction form
    262,332/575,100 = 575,100/x
  3. Step 3: Cross multiply
    262,332x = 575,100 × 575,100
  4. Step 4: Simplify right side
    262,332x = 330,740,010,000
  5. Step 5: Solve for x
    x = 330,740,010,000/262,332
  6. Step 6: Final answer
    x = 1,260,768.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.