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Finding the Third Proportional to 444,456 and 706,050

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Solution

The third proportional to 444,456 and 706,050 is: 1,121,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,456 : 706,050 = 706,050 : x
  2. Step 2: Convert to fraction form
    444,456/706,050 = 706,050/x
  3. Step 3: Cross multiply
    444,456x = 706,050 × 706,050
  4. Step 4: Simplify right side
    444,456x = 498,506,602,500
  5. Step 5: Solve for x
    x = 498,506,602,500/444,456
  6. Step 6: Final answer
    x = 1,121,610.69

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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.