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Finding the Third Proportional to 440,508 and 700,146

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Solution

The third proportional to 440,508 and 700,146 is: 1,112,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,508 : 700,146 = 700,146 : x
  2. Step 2: Convert to fraction form
    440,508/700,146 = 700,146/x
  3. Step 3: Cross multiply
    440,508x = 700,146 × 700,146
  4. Step 4: Simplify right side
    440,508x = 490,204,421,316
  5. Step 5: Solve for x
    x = 490,204,421,316/440,508
  6. Step 6: Final answer
    x = 1,112,816.16

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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.