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Finding the Third Proportional to 334,998 and 730,233

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Solution

The third proportional to 334,998 and 730,233 is: 1,591,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,998 : 730,233 = 730,233 : x
  2. Step 2: Convert to fraction form
    334,998/730,233 = 730,233/x
  3. Step 3: Cross multiply
    334,998x = 730,233 × 730,233
  4. Step 4: Simplify right side
    334,998x = 533,240,234,289
  5. Step 5: Solve for x
    x = 533,240,234,289/334,998
  6. Step 6: Final answer
    x = 1,591,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.