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Finding the Third Proportional to 441,587 and 700,383

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Solution

The third proportional to 441,587 and 700,383 is: 1,110,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,587 : 700,383 = 700,383 : x
  2. Step 2: Convert to fraction form
    441,587/700,383 = 700,383/x
  3. Step 3: Cross multiply
    441,587x = 700,383 × 700,383
  4. Step 4: Simplify right side
    441,587x = 490,536,346,689
  5. Step 5: Solve for x
    x = 490,536,346,689/441,587
  6. Step 6: Final answer
    x = 1,110,848.70

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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.