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Finding the Third Proportional to 286,848 and 623,448

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Solution

The third proportional to 286,848 and 623,448 is: 1,355,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,848 : 623,448 = 623,448 : x
  2. Step 2: Convert to fraction form
    286,848/623,448 = 623,448/x
  3. Step 3: Cross multiply
    286,848x = 623,448 × 623,448
  4. Step 4: Simplify right side
    286,848x = 388,687,408,704
  5. Step 5: Solve for x
    x = 388,687,408,704/286,848
  6. Step 6: Final answer
    x = 1,355,029.17

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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.