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Finding the Third Proportional to 439,723.69 and 696,848.06

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Solution

The third proportional to 439,723.69 and 696,848.06 is: 1,104,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,723.69 : 696,848.06 = 696,848.06 : x
  2. Step 2: Convert to fraction form
    439,723.69/696,848.06 = 696,848.06/x
  3. Step 3: Cross multiply
    439,723.69x = 696,848.06 × 696,848.06
  4. Step 4: Simplify right side
    439,723.69x = 485,597,222,210.00
  5. Step 5: Solve for x
    x = 485,597,222,210.00/439,723.69
  6. Step 6: Final answer
    x = 1,104,323.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.