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Finding the Third Proportional to 441,560 and 700,342

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Solution

The third proportional to 441,560 and 700,342 is: 1,110,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,560 : 700,342 = 700,342 : x
  2. Step 2: Convert to fraction form
    441,560/700,342 = 700,342/x
  3. Step 3: Cross multiply
    441,560x = 700,342 × 700,342
  4. Step 4: Simplify right side
    441,560x = 490,478,916,964
  5. Step 5: Solve for x
    x = 490,478,916,964/441,560
  6. Step 6: Final answer
    x = 1,110,786.57

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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.