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Finding the Third Proportional to 705,010.50 and 1,447,344

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Solution

The third proportional to 705,010.50 and 1,447,344 is: 2,971,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,010.50 : 1,447,344 = 1,447,344 : x
  2. Step 2: Convert to fraction form
    705,010.50/1,447,344 = 1,447,344/x
  3. Step 3: Cross multiply
    705,010.50x = 1,447,344 × 1,447,344
  4. Step 4: Simplify right side
    705,010.50x = 2,094,804,654,336
  5. Step 5: Solve for x
    x = 2,094,804,654,336/705,010.50
  6. Step 6: Final answer
    x = 2,971,309.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.