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Finding the Third Proportional to 440,672 and 700,368

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Solution

The third proportional to 440,672 and 700,368 is: 1,113,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,672 : 700,368 = 700,368 : x
  2. Step 2: Convert to fraction form
    440,672/700,368 = 700,368/x
  3. Step 3: Cross multiply
    440,672x = 700,368 × 700,368
  4. Step 4: Simplify right side
    440,672x = 490,515,335,424
  5. Step 5: Solve for x
    x = 490,515,335,424/440,672
  6. Step 6: Final answer
    x = 1,113,107.56

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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.