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Finding the Third Proportional to 334,981 and 730,090

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Solution

The third proportional to 334,981 and 730,090 is: 1,591,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,981 : 730,090 = 730,090 : x
  2. Step 2: Convert to fraction form
    334,981/730,090 = 730,090/x
  3. Step 3: Cross multiply
    334,981x = 730,090 × 730,090
  4. Step 4: Simplify right side
    334,981x = 533,031,408,100
  5. Step 5: Solve for x
    x = 533,031,408,100/334,981
  6. Step 6: Final answer
    x = 1,591,228.78

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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.