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Finding the Third Proportional to 444,470.50 and 706,071.50

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Solution

The third proportional to 444,470.50 and 706,071.50 is: 1,121,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,470.50 : 706,071.50 = 706,071.50 : x
  2. Step 2: Convert to fraction form
    444,470.50/706,071.50 = 706,071.50/x
  3. Step 3: Cross multiply
    444,470.50x = 706,071.50 × 706,071.50
  4. Step 4: Simplify right side
    444,470.50x = 498,536,963,112.25
  5. Step 5: Solve for x
    x = 498,536,963,112.25/444,470.50
  6. Step 6: Final answer
    x = 1,121,642.41

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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.