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Finding the Third Proportional to 566,827 and 877,621

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Solution

The third proportional to 566,827 and 877,621 is: 1,358,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,827 : 877,621 = 877,621 : x
  2. Step 2: Convert to fraction form
    566,827/877,621 = 877,621/x
  3. Step 3: Cross multiply
    566,827x = 877,621 × 877,621
  4. Step 4: Simplify right side
    566,827x = 770,218,619,641
  5. Step 5: Solve for x
    x = 770,218,619,641/566,827
  6. Step 6: Final answer
    x = 1,358,824.86

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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.