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Finding the Third Proportional to 485,658 and 735,260

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Solution

The third proportional to 485,658 and 735,260 is: 1,113,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,658 : 735,260 = 735,260 : x
  2. Step 2: Convert to fraction form
    485,658/735,260 = 735,260/x
  3. Step 3: Cross multiply
    485,658x = 735,260 × 735,260
  4. Step 4: Simplify right side
    485,658x = 540,607,267,600
  5. Step 5: Solve for x
    x = 540,607,267,600/485,658
  6. Step 6: Final answer
    x = 1,113,143.96

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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.