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Finding the Third Proportional to 286,638 and 607,424

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Solution

The third proportional to 286,638 and 607,424 is: 1,287,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638 : 607,424 = 607,424 : x
  2. Step 2: Convert to fraction form
    286,638/607,424 = 607,424/x
  3. Step 3: Cross multiply
    286,638x = 607,424 × 607,424
  4. Step 4: Simplify right side
    286,638x = 368,963,915,776
  5. Step 5: Solve for x
    x = 368,963,915,776/286,638
  6. Step 6: Final answer
    x = 1,287,212.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.