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Finding the Third Proportional to 314,346 and 643,218

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Solution

The third proportional to 314,346 and 643,218 is: 1,316,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,346 : 643,218 = 643,218 : x
  2. Step 2: Convert to fraction form
    314,346/643,218 = 643,218/x
  3. Step 3: Cross multiply
    314,346x = 643,218 × 643,218
  4. Step 4: Simplify right side
    314,346x = 413,729,395,524
  5. Step 5: Solve for x
    x = 413,729,395,524/314,346
  6. Step 6: Final answer
    x = 1,316,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.