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Finding the Third Proportional to 771,293.25 and 1,675,264.50

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Solution

The third proportional to 771,293.25 and 1,675,264.50 is: 3,638,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,293.25 : 1,675,264.50 = 1,675,264.50 : x
  2. Step 2: Convert to fraction form
    771,293.25/1,675,264.50 = 1,675,264.50/x
  3. Step 3: Cross multiply
    771,293.25x = 1,675,264.50 × 1,675,264.50
  4. Step 4: Simplify right side
    771,293.25x = 2,806,511,144,960.25
  5. Step 5: Solve for x
    x = 2,806,511,144,960.25/771,293.25
  6. Step 6: Final answer
    x = 3,638,708.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.