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Finding the Third Proportional to 282,222 and 603,783

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Solution

The third proportional to 282,222 and 603,783 is: 1,291,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,222 : 603,783 = 603,783 : x
  2. Step 2: Convert to fraction form
    282,222/603,783 = 603,783/x
  3. Step 3: Cross multiply
    282,222x = 603,783 × 603,783
  4. Step 4: Simplify right side
    282,222x = 364,553,911,089
  5. Step 5: Solve for x
    x = 364,553,911,089/282,222
  6. Step 6: Final answer
    x = 1,291,727.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.