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Finding the Third Proportional to 329,820 and 706,280

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Solution

The third proportional to 329,820 and 706,280 is: 1,512,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,820 : 706,280 = 706,280 : x
  2. Step 2: Convert to fraction form
    329,820/706,280 = 706,280/x
  3. Step 3: Cross multiply
    329,820x = 706,280 × 706,280
  4. Step 4: Simplify right side
    329,820x = 498,831,438,400
  5. Step 5: Solve for x
    x = 498,831,438,400/329,820
  6. Step 6: Final answer
    x = 1,512,435.38

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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.