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Finding the Third Proportional to 294,439 and 635,507

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Solution

The third proportional to 294,439 and 635,507 is: 1,371,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,439 : 635,507 = 635,507 : x
  2. Step 2: Convert to fraction form
    294,439/635,507 = 635,507/x
  3. Step 3: Cross multiply
    294,439x = 635,507 × 635,507
  4. Step 4: Simplify right side
    294,439x = 403,869,147,049
  5. Step 5: Solve for x
    x = 403,869,147,049/294,439
  6. Step 6: Final answer
    x = 1,371,656.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.