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Finding the Third Proportional to 372,798 and 797,840

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Solution

The third proportional to 372,798 and 797,840 is: 1,707,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,798 : 797,840 = 797,840 : x
  2. Step 2: Convert to fraction form
    372,798/797,840 = 797,840/x
  3. Step 3: Cross multiply
    372,798x = 797,840 × 797,840
  4. Step 4: Simplify right side
    372,798x = 636,548,665,600
  5. Step 5: Solve for x
    x = 636,548,665,600/372,798
  6. Step 6: Final answer
    x = 1,707,489.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.