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Finding the Third Proportional to 370,820.63 and 797,531.25

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Solution

The third proportional to 370,820.63 and 797,531.25 is: 1,715,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,820.63 : 797,531.25 = 797,531.25 : x
  2. Step 2: Convert to fraction form
    370,820.63/797,531.25 = 797,531.25/x
  3. Step 3: Cross multiply
    370,820.63x = 797,531.25 × 797,531.25
  4. Step 4: Simplify right side
    370,820.63x = 636,056,094,726.56
  5. Step 5: Solve for x
    x = 636,056,094,726.56/370,820.63
  6. Step 6: Final answer
    x = 1,715,266.23

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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.