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Finding the Third Proportional to 343,272.30 and 747,570.52

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Solution

The third proportional to 343,272.30 and 747,570.52 is: 1,628,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,272.30 : 747,570.52 = 747,570.52 : x
  2. Step 2: Convert to fraction form
    343,272.30/747,570.52 = 747,570.52/x
  3. Step 3: Cross multiply
    343,272.30x = 747,570.52 × 747,570.52
  4. Step 4: Simplify right side
    343,272.30x = 558,861,675,831.83
  5. Step 5: Solve for x
    x = 558,861,675,831.83/343,272.30
  6. Step 6: Final answer
    x = 1,628,041.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.