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Finding the Third Proportional to 343,740.38 and 740,144.25

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Solution

The third proportional to 343,740.38 and 740,144.25 is: 1,593,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,740.38 : 740,144.25 = 740,144.25 : x
  2. Step 2: Convert to fraction form
    343,740.38/740,144.25 = 740,144.25/x
  3. Step 3: Cross multiply
    343,740.38x = 740,144.25 × 740,144.25
  4. Step 4: Simplify right side
    343,740.38x = 547,813,510,808.06
  5. Step 5: Solve for x
    x = 547,813,510,808.06/343,740.38
  6. Step 6: Final answer
    x = 1,593,683.93

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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.