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Finding the Third Proportional to 485,552 and 735,078

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Solution

The third proportional to 485,552 and 735,078 is: 1,112,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,552 : 735,078 = 735,078 : x
  2. Step 2: Convert to fraction form
    485,552/735,078 = 735,078/x
  3. Step 3: Cross multiply
    485,552x = 735,078 × 735,078
  4. Step 4: Simplify right side
    485,552x = 540,339,666,084
  5. Step 5: Solve for x
    x = 540,339,666,084/485,552
  6. Step 6: Final answer
    x = 1,112,835.84

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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.