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Finding the Third Proportional to 328,599 and 706,274

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Solution

The third proportional to 328,599 and 706,274 is: 1,518,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,599 : 706,274 = 706,274 : x
  2. Step 2: Convert to fraction form
    328,599/706,274 = 706,274/x
  3. Step 3: Cross multiply
    328,599x = 706,274 × 706,274
  4. Step 4: Simplify right side
    328,599x = 498,822,963,076
  5. Step 5: Solve for x
    x = 498,822,963,076/328,599
  6. Step 6: Final answer
    x = 1,518,029.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.