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Finding the Third Proportional to 286,598.25 and 619,893

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Solution

The third proportional to 286,598.25 and 619,893 is: 1,340,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.25 : 619,893 = 619,893 : x
  2. Step 2: Convert to fraction form
    286,598.25/619,893 = 619,893/x
  3. Step 3: Cross multiply
    286,598.25x = 619,893 × 619,893
  4. Step 4: Simplify right side
    286,598.25x = 384,267,331,449
  5. Step 5: Solve for x
    x = 384,267,331,449/286,598.25
  6. Step 6: Final answer
    x = 1,340,787.43

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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.