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Finding the Third Proportional to 441,564 and 700,348

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Solution

The third proportional to 441,564 and 700,348 is: 1,110,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,564 : 700,348 = 700,348 : x
  2. Step 2: Convert to fraction form
    441,564/700,348 = 700,348/x
  3. Step 3: Cross multiply
    441,564x = 700,348 × 700,348
  4. Step 4: Simplify right side
    441,564x = 490,487,321,104
  5. Step 5: Solve for x
    x = 490,487,321,104/441,564
  6. Step 6: Final answer
    x = 1,110,795.54

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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.