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Finding the Third Proportional to 286,650 and 596,828

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Solution

The third proportional to 286,650 and 596,828 is: 1,242,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,650 : 596,828 = 596,828 : x
  2. Step 2: Convert to fraction form
    286,650/596,828 = 596,828/x
  3. Step 3: Cross multiply
    286,650x = 596,828 × 596,828
  4. Step 4: Simplify right side
    286,650x = 356,203,661,584
  5. Step 5: Solve for x
    x = 356,203,661,584/286,650
  6. Step 6: Final answer
    x = 1,242,643.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.