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Finding the Third Proportional to 575,577 and 863,361

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Solution

The third proportional to 575,577 and 863,361 is: 1,295,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,577 : 863,361 = 863,361 : x
  2. Step 2: Convert to fraction form
    575,577/863,361 = 863,361/x
  3. Step 3: Cross multiply
    575,577x = 863,361 × 863,361
  4. Step 4: Simplify right side
    575,577x = 745,392,216,321
  5. Step 5: Solve for x
    x = 745,392,216,321/575,577
  6. Step 6: Final answer
    x = 1,295,034.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.