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Finding the Third Proportional to 284,885.44 and 607,902.47

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Solution

The third proportional to 284,885.44 and 607,902.47 is: 1,297,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,885.44 : 607,902.47 = 607,902.47 : x
  2. Step 2: Convert to fraction form
    284,885.44/607,902.47 = 607,902.47/x
  3. Step 3: Cross multiply
    284,885.44x = 607,902.47 × 607,902.47
  4. Step 4: Simplify right side
    284,885.44x = 369,545,411,512.35
  5. Step 5: Solve for x
    x = 369,545,411,512.35/284,885.44
  6. Step 6: Final answer
    x = 1,297,172.00

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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.