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Finding the Third Proportional to 760,418 and 1,138,350

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Solution

The third proportional to 760,418 and 1,138,350 is: 1,704,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,418 : 1,138,350 = 1,138,350 : x
  2. Step 2: Convert to fraction form
    760,418/1,138,350 = 1,138,350/x
  3. Step 3: Cross multiply
    760,418x = 1,138,350 × 1,138,350
  4. Step 4: Simplify right side
    760,418x = 1,295,840,722,500
  5. Step 5: Solve for x
    x = 1,295,840,722,500/760,418
  6. Step 6: Final answer
    x = 1,704,116.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.