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Finding the Third Proportional to 440,606 and 700,276

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Solution

The third proportional to 440,606 and 700,276 is: 1,112,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,606 : 700,276 = 700,276 : x
  2. Step 2: Convert to fraction form
    440,606/700,276 = 700,276/x
  3. Step 3: Cross multiply
    440,606x = 700,276 × 700,276
  4. Step 4: Simplify right side
    440,606x = 490,386,476,176
  5. Step 5: Solve for x
    x = 490,386,476,176/440,606
  6. Step 6: Final answer
    x = 1,112,981.84

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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.