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Finding the Third Proportional to 575,941 and 775,331

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Solution

The third proportional to 575,941 and 775,331 is: 1,043,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,941 : 775,331 = 775,331 : x
  2. Step 2: Convert to fraction form
    575,941/775,331 = 775,331/x
  3. Step 3: Cross multiply
    575,941x = 775,331 × 775,331
  4. Step 4: Simplify right side
    575,941x = 601,138,159,561
  5. Step 5: Solve for x
    x = 601,138,159,561/575,941
  6. Step 6: Final answer
    x = 1,043,749.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.