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Finding the Third Proportional to 523,081 and 808,280

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Solution

The third proportional to 523,081 and 808,280 is: 1,248,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,081 : 808,280 = 808,280 : x
  2. Step 2: Convert to fraction form
    523,081/808,280 = 808,280/x
  3. Step 3: Cross multiply
    523,081x = 808,280 × 808,280
  4. Step 4: Simplify right side
    523,081x = 653,316,558,400
  5. Step 5: Solve for x
    x = 653,316,558,400/523,081
  6. Step 6: Final answer
    x = 1,248,977.80

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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.