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Finding the Third Proportional to 310,492 and 679,100

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Solution

The third proportional to 310,492 and 679,100 is: 1,485,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,492 : 679,100 = 679,100 : x
  2. Step 2: Convert to fraction form
    310,492/679,100 = 679,100/x
  3. Step 3: Cross multiply
    310,492x = 679,100 × 679,100
  4. Step 4: Simplify right side
    310,492x = 461,176,810,000
  5. Step 5: Solve for x
    x = 461,176,810,000/310,492
  6. Step 6: Final answer
    x = 1,485,309.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.