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Finding the Third Proportional to 566,924 and 877,771

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Solution

The third proportional to 566,924 and 877,771 is: 1,359,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,924 : 877,771 = 877,771 : x
  2. Step 2: Convert to fraction form
    566,924/877,771 = 877,771/x
  3. Step 3: Cross multiply
    566,924x = 877,771 × 877,771
  4. Step 4: Simplify right side
    566,924x = 770,481,928,441
  5. Step 5: Solve for x
    x = 770,481,928,441/566,924
  6. Step 6: Final answer
    x = 1,359,056.82

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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.