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Finding the Third Proportional to 278,032.50 and 607,034.25

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Solution

The third proportional to 278,032.50 and 607,034.25 is: 1,325,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,032.50 : 607,034.25 = 607,034.25 : x
  2. Step 2: Convert to fraction form
    278,032.50/607,034.25 = 607,034.25/x
  3. Step 3: Cross multiply
    278,032.50x = 607,034.25 × 607,034.25
  4. Step 4: Simplify right side
    278,032.50x = 368,490,580,673.06
  5. Step 5: Solve for x
    x = 368,490,580,673.06/278,032.50
  6. Step 6: Final answer
    x = 1,325,350.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.