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Finding the Third Proportional to 343,473 and 734,214

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Solution

The third proportional to 343,473 and 734,214 is: 1,569,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,473 : 734,214 = 734,214 : x
  2. Step 2: Convert to fraction form
    343,473/734,214 = 734,214/x
  3. Step 3: Cross multiply
    343,473x = 734,214 × 734,214
  4. Step 4: Simplify right side
    343,473x = 539,070,197,796
  5. Step 5: Solve for x
    x = 539,070,197,796/343,473
  6. Step 6: Final answer
    x = 1,569,468.92

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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.