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Finding the Third Proportional to 485,528.63 and 735,041.25

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Solution

The third proportional to 485,528.63 and 735,041.25 is: 1,112,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,528.63 : 735,041.25 = 735,041.25 : x
  2. Step 2: Convert to fraction form
    485,528.63/735,041.25 = 735,041.25/x
  3. Step 3: Cross multiply
    485,528.63x = 735,041.25 × 735,041.25
  4. Step 4: Simplify right side
    485,528.63x = 540,285,639,201.56
  5. Step 5: Solve for x
    x = 540,285,639,201.56/485,528.63
  6. Step 6: Final answer
    x = 1,112,778.14

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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.