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Finding the Third Proportional to 284,900 and 607,934

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Solution

The third proportional to 284,900 and 607,934 is: 1,297,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,900 : 607,934 = 607,934 : x
  2. Step 2: Convert to fraction form
    284,900/607,934 = 607,934/x
  3. Step 3: Cross multiply
    284,900x = 607,934 × 607,934
  4. Step 4: Simplify right side
    284,900x = 369,583,748,356
  5. Step 5: Solve for x
    x = 369,583,748,356/284,900
  6. Step 6: Final answer
    x = 1,297,240.25

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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.