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Finding the Third Proportional to 343,012 and 735,248

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Solution

The third proportional to 343,012 and 735,248 is: 1,576,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,012 : 735,248 = 735,248 : x
  2. Step 2: Convert to fraction form
    343,012/735,248 = 735,248/x
  3. Step 3: Cross multiply
    343,012x = 735,248 × 735,248
  4. Step 4: Simplify right side
    343,012x = 540,589,621,504
  5. Step 5: Solve for x
    x = 540,589,621,504/343,012
  6. Step 6: Final answer
    x = 1,576,007.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.