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Finding the Third Proportional to 614,201.25 and 1,329,009

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Solution

The third proportional to 614,201.25 and 1,329,009 is: 2,875,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,201.25 : 1,329,009 = 1,329,009 : x
  2. Step 2: Convert to fraction form
    614,201.25/1,329,009 = 1,329,009/x
  3. Step 3: Cross multiply
    614,201.25x = 1,329,009 × 1,329,009
  4. Step 4: Simplify right side
    614,201.25x = 1,766,264,922,081
  5. Step 5: Solve for x
    x = 1,766,264,922,081/614,201.25
  6. Step 6: Final answer
    x = 2,875,710.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.