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Finding the Third Proportional to 387,618 and 831,272

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Solution

The third proportional to 387,618 and 831,272 is: 1,782,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,618 : 831,272 = 831,272 : x
  2. Step 2: Convert to fraction form
    387,618/831,272 = 831,272/x
  3. Step 3: Cross multiply
    387,618x = 831,272 × 831,272
  4. Step 4: Simplify right side
    387,618x = 691,013,137,984
  5. Step 5: Solve for x
    x = 691,013,137,984/387,618
  6. Step 6: Final answer
    x = 1,782,716.84

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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.