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Finding the Third Proportional to 286,725 and 623,293

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Solution

The third proportional to 286,725 and 623,293 is: 1,354,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,725 : 623,293 = 623,293 : x
  2. Step 2: Convert to fraction form
    286,725/623,293 = 623,293/x
  3. Step 3: Cross multiply
    286,725x = 623,293 × 623,293
  4. Step 4: Simplify right side
    286,725x = 388,494,163,849
  5. Step 5: Solve for x
    x = 388,494,163,849/286,725
  6. Step 6: Final answer
    x = 1,354,936.49

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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.