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Finding the Third Proportional to 284,236 and 607,860

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Solution

The third proportional to 284,236 and 607,860 is: 1,299,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,236 : 607,860 = 607,860 : x
  2. Step 2: Convert to fraction form
    284,236/607,860 = 607,860/x
  3. Step 3: Cross multiply
    284,236x = 607,860 × 607,860
  4. Step 4: Simplify right side
    284,236x = 369,493,779,600
  5. Step 5: Solve for x
    x = 369,493,779,600/284,236
  6. Step 6: Final answer
    x = 1,299,954.19

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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.