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Finding the Third Proportional to 563,801 and 874,347

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Solution

The third proportional to 563,801 and 874,347 is: 1,355,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,801 : 874,347 = 874,347 : x
  2. Step 2: Convert to fraction form
    563,801/874,347 = 874,347/x
  3. Step 3: Cross multiply
    563,801x = 874,347 × 874,347
  4. Step 4: Simplify right side
    563,801x = 764,482,676,409
  5. Step 5: Solve for x
    x = 764,482,676,409/563,801
  6. Step 6: Final answer
    x = 1,355,944.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.