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Finding the Third Proportional to 700,824 and 1,508,253.75

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Solution

The third proportional to 700,824 and 1,508,253.75 is: 3,245,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,824 : 1,508,253.75 = 1,508,253.75 : x
  2. Step 2: Convert to fraction form
    700,824/1,508,253.75 = 1,508,253.75/x
  3. Step 3: Cross multiply
    700,824x = 1,508,253.75 × 1,508,253.75
  4. Step 4: Simplify right side
    700,824x = 2,274,829,374,389.06
  5. Step 5: Solve for x
    x = 2,274,829,374,389.06/700,824
  6. Step 6: Final answer
    x = 3,245,935.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.