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Finding the Third Proportional to 337,840 and 734,484

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Solution

The third proportional to 337,840 and 734,484 is: 1,596,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,840 : 734,484 = 734,484 : x
  2. Step 2: Convert to fraction form
    337,840/734,484 = 734,484/x
  3. Step 3: Cross multiply
    337,840x = 734,484 × 734,484
  4. Step 4: Simplify right side
    337,840x = 539,466,746,256
  5. Step 5: Solve for x
    x = 539,466,746,256/337,840
  6. Step 6: Final answer
    x = 1,596,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.