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Finding the Third Proportional to 440,186.91 and 700,219.69

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Solution

The third proportional to 440,186.91 and 700,219.69 is: 1,113,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,186.91 : 700,219.69 = 700,219.69 : x
  2. Step 2: Convert to fraction form
    440,186.91/700,219.69 = 700,219.69/x
  3. Step 3: Cross multiply
    440,186.91x = 700,219.69 × 700,219.69
  4. Step 4: Simplify right side
    440,186.91x = 490,307,610,762.60
  5. Step 5: Solve for x
    x = 490,307,610,762.60/440,186.91
  6. Step 6: Final answer
    x = 1,113,862.32

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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.