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Finding the Third Proportional to 262,800 and 575,988

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Solution

The third proportional to 262,800 and 575,988 is: 1,262,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,800 : 575,988 = 575,988 : x
  2. Step 2: Convert to fraction form
    262,800/575,988 = 575,988/x
  3. Step 3: Cross multiply
    262,800x = 575,988 × 575,988
  4. Step 4: Simplify right side
    262,800x = 331,762,176,144
  5. Step 5: Solve for x
    x = 331,762,176,144/262,800
  6. Step 6: Final answer
    x = 1,262,413.15

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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.