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Finding the Third Proportional to 411,151 and 632,778

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Solution

The third proportional to 411,151 and 632,778 is: 973,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,151 : 632,778 = 632,778 : x
  2. Step 2: Convert to fraction form
    411,151/632,778 = 632,778/x
  3. Step 3: Cross multiply
    411,151x = 632,778 × 632,778
  4. Step 4: Simplify right side
    411,151x = 400,407,997,284
  5. Step 5: Solve for x
    x = 400,407,997,284/411,151
  6. Step 6: Final answer
    x = 973,870.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.