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Finding the Third Proportional to 324,579 and 700,998

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Solution

The third proportional to 324,579 and 700,998 is: 1,513,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,579 : 700,998 = 700,998 : x
  2. Step 2: Convert to fraction form
    324,579/700,998 = 700,998/x
  3. Step 3: Cross multiply
    324,579x = 700,998 × 700,998
  4. Step 4: Simplify right side
    324,579x = 491,398,196,004
  5. Step 5: Solve for x
    x = 491,398,196,004/324,579
  6. Step 6: Final answer
    x = 1,513,955.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.