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Finding the Third Proportional to 485,535 and 735,052

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Solution

The third proportional to 485,535 and 735,052 is: 1,112,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,535 : 735,052 = 735,052 : x
  2. Step 2: Convert to fraction form
    485,535/735,052 = 735,052/x
  3. Step 3: Cross multiply
    485,535x = 735,052 × 735,052
  4. Step 4: Simplify right side
    485,535x = 540,301,442,704
  5. Step 5: Solve for x
    x = 540,301,442,704/485,535
  6. Step 6: Final answer
    x = 1,112,796.08

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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.