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Finding the Third Proportional to 310,458 and 679,033

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Solution

The third proportional to 310,458 and 679,033 is: 1,485,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,458 : 679,033 = 679,033 : x
  2. Step 2: Convert to fraction form
    310,458/679,033 = 679,033/x
  3. Step 3: Cross multiply
    310,458x = 679,033 × 679,033
  4. Step 4: Simplify right side
    310,458x = 461,085,815,089
  5. Step 5: Solve for x
    x = 461,085,815,089/310,458
  6. Step 6: Final answer
    x = 1,485,179.36

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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.