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Finding the Third Proportional to 564,694 and 848,297

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Solution

The third proportional to 564,694 and 848,297 is: 1,274,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,694 : 848,297 = 848,297 : x
  2. Step 2: Convert to fraction form
    564,694/848,297 = 848,297/x
  3. Step 3: Cross multiply
    564,694x = 848,297 × 848,297
  4. Step 4: Simplify right side
    564,694x = 719,607,800,209
  5. Step 5: Solve for x
    x = 719,607,800,209/564,694
  6. Step 6: Final answer
    x = 1,274,332.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.