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Finding the Third Proportional to 485,550 and 735,075

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Solution

The third proportional to 485,550 and 735,075 is: 1,112,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,550 : 735,075 = 735,075 : x
  2. Step 2: Convert to fraction form
    485,550/735,075 = 735,075/x
  3. Step 3: Cross multiply
    485,550x = 735,075 × 735,075
  4. Step 4: Simplify right side
    485,550x = 540,335,255,625
  5. Step 5: Solve for x
    x = 540,335,255,625/485,550
  6. Step 6: Final answer
    x = 1,112,831.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.