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Finding the Third Proportional to 569,952.75 and 889,435.50

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Solution

The third proportional to 569,952.75 and 889,435.50 is: 1,388,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,952.75 : 889,435.50 = 889,435.50 : x
  2. Step 2: Convert to fraction form
    569,952.75/889,435.50 = 889,435.50/x
  3. Step 3: Cross multiply
    569,952.75x = 889,435.50 × 889,435.50
  4. Step 4: Simplify right side
    569,952.75x = 791,095,508,660.25
  5. Step 5: Solve for x
    x = 791,095,508,660.25/569,952.75
  6. Step 6: Final answer
    x = 1,388,001.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.