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Finding the Third Proportional to 444,458.50 and 706,053

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Solution

The third proportional to 444,458.50 and 706,053 is: 1,121,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,458.50 : 706,053 = 706,053 : x
  2. Step 2: Convert to fraction form
    444,458.50/706,053 = 706,053/x
  3. Step 3: Cross multiply
    444,458.50x = 706,053 × 706,053
  4. Step 4: Simplify right side
    444,458.50x = 498,510,838,809
  5. Step 5: Solve for x
    x = 498,510,838,809/444,458.50
  6. Step 6: Final answer
    x = 1,121,613.92

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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.