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Finding the Third Proportional to 284,006 and 607,906

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Solution

The third proportional to 284,006 and 607,906 is: 1,301,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,006 : 607,906 = 607,906 : x
  2. Step 2: Convert to fraction form
    284,006/607,906 = 607,906/x
  3. Step 3: Cross multiply
    284,006x = 607,906 × 607,906
  4. Step 4: Simplify right side
    284,006x = 369,549,704,836
  5. Step 5: Solve for x
    x = 369,549,704,836/284,006
  6. Step 6: Final answer
    x = 1,301,203.86

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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.