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Finding the Third Proportional to 679,822.88 and 952,985.25

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Solution

The third proportional to 679,822.88 and 952,985.25 is: 1,335,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,822.88 : 952,985.25 = 952,985.25 : x
  2. Step 2: Convert to fraction form
    679,822.88/952,985.25 = 952,985.25/x
  3. Step 3: Cross multiply
    679,822.88x = 952,985.25 × 952,985.25
  4. Step 4: Simplify right side
    679,822.88x = 908,180,886,717.56
  5. Step 5: Solve for x
    x = 908,180,886,717.56/679,822.88
  6. Step 6: Final answer
    x = 1,335,908.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.