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Finding the Third Proportional to 387,324 and 838,971

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Solution

The third proportional to 387,324 and 838,971 is: 1,817,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,324 : 838,971 = 838,971 : x
  2. Step 2: Convert to fraction form
    387,324/838,971 = 838,971/x
  3. Step 3: Cross multiply
    387,324x = 838,971 × 838,971
  4. Step 4: Simplify right side
    387,324x = 703,872,338,841
  5. Step 5: Solve for x
    x = 703,872,338,841/387,324
  6. Step 6: Final answer
    x = 1,817,270.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.