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Finding the Third Proportional to 284,904 and 607,942

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Solution

The third proportional to 284,904 and 607,942 is: 1,297,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,904 : 607,942 = 607,942 : x
  2. Step 2: Convert to fraction form
    284,904/607,942 = 607,942/x
  3. Step 3: Cross multiply
    284,904x = 607,942 × 607,942
  4. Step 4: Simplify right side
    284,904x = 369,593,475,364
  5. Step 5: Solve for x
    x = 369,593,475,364/284,904
  6. Step 6: Final answer
    x = 1,297,256.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.