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Finding the Third Proportional to 286,857 and 623,466

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Solution

The third proportional to 286,857 and 623,466 is: 1,355,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,857 : 623,466 = 623,466 : x
  2. Step 2: Convert to fraction form
    286,857/623,466 = 623,466/x
  3. Step 3: Cross multiply
    286,857x = 623,466 × 623,466
  4. Step 4: Simplify right side
    286,857x = 388,709,853,156
  5. Step 5: Solve for x
    x = 388,709,853,156/286,857
  6. Step 6: Final answer
    x = 1,355,064.90

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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.