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Finding the Third Proportional to 662,944.50 and 1,020,296.25

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Solution

The third proportional to 662,944.50 and 1,020,296.25 is: 1,570,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,944.50 : 1,020,296.25 = 1,020,296.25 : x
  2. Step 2: Convert to fraction form
    662,944.50/1,020,296.25 = 1,020,296.25/x
  3. Step 3: Cross multiply
    662,944.50x = 1,020,296.25 × 1,020,296.25
  4. Step 4: Simplify right side
    662,944.50x = 1,041,004,437,764.06
  5. Step 5: Solve for x
    x = 1,041,004,437,764.06/662,944.50
  6. Step 6: Final answer
    x = 1,570,273.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.