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Finding the Third Proportional to 441,585 and 700,380

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Solution

The third proportional to 441,585 and 700,380 is: 1,110,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,585 : 700,380 = 700,380 : x
  2. Step 2: Convert to fraction form
    441,585/700,380 = 700,380/x
  3. Step 3: Cross multiply
    441,585x = 700,380 × 700,380
  4. Step 4: Simplify right side
    441,585x = 490,532,144,400
  5. Step 5: Solve for x
    x = 490,532,144,400/441,585
  6. Step 6: Final answer
    x = 1,110,844.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.