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Finding the Third Proportional to 403,592 and 877,168

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Solution

The third proportional to 403,592 and 877,168 is: 1,906,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,592 : 877,168 = 877,168 : x
  2. Step 2: Convert to fraction form
    403,592/877,168 = 877,168/x
  3. Step 3: Cross multiply
    403,592x = 877,168 × 877,168
  4. Step 4: Simplify right side
    403,592x = 769,423,700,224
  5. Step 5: Solve for x
    x = 769,423,700,224/403,592
  6. Step 6: Final answer
    x = 1,906,439.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.