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Finding the Third Proportional to 485,597 and 735,168

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Solution

The third proportional to 485,597 and 735,168 is: 1,113,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,597 : 735,168 = 735,168 : x
  2. Step 2: Convert to fraction form
    485,597/735,168 = 735,168/x
  3. Step 3: Cross multiply
    485,597x = 735,168 × 735,168
  4. Step 4: Simplify right side
    485,597x = 540,471,988,224
  5. Step 5: Solve for x
    x = 540,471,988,224/485,597
  6. Step 6: Final answer
    x = 1,113,005.20

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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.