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Finding the Third Proportional to 773,280 and 1,660,837.50

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Solution

The third proportional to 773,280 and 1,660,837.50 is: 3,567,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,280 : 1,660,837.50 = 1,660,837.50 : x
  2. Step 2: Convert to fraction form
    773,280/1,660,837.50 = 1,660,837.50/x
  3. Step 3: Cross multiply
    773,280x = 1,660,837.50 × 1,660,837.50
  4. Step 4: Simplify right side
    773,280x = 2,758,381,201,406.25
  5. Step 5: Solve for x
    x = 2,758,381,201,406.25/773,280
  6. Step 6: Final answer
    x = 3,567,118.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.