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Finding the Third Proportional to 334,248 and 734,640

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Solution

The third proportional to 334,248 and 734,640 is: 1,614,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,248 : 734,640 = 734,640 : x
  2. Step 2: Convert to fraction form
    334,248/734,640 = 734,640/x
  3. Step 3: Cross multiply
    334,248x = 734,640 × 734,640
  4. Step 4: Simplify right side
    334,248x = 539,695,929,600
  5. Step 5: Solve for x
    x = 539,695,929,600/334,248
  6. Step 6: Final answer
    x = 1,614,657.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.