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Finding the Third Proportional to 566,754 and 877,401

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Solution

The third proportional to 566,754 and 877,401 is: 1,358,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,754 : 877,401 = 877,401 : x
  2. Step 2: Convert to fraction form
    566,754/877,401 = 877,401/x
  3. Step 3: Cross multiply
    566,754x = 877,401 × 877,401
  4. Step 4: Simplify right side
    566,754x = 769,832,514,801
  5. Step 5: Solve for x
    x = 769,832,514,801/566,754
  6. Step 6: Final answer
    x = 1,358,318.63

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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.