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Finding the Third Proportional to 284,004 and 607,902

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Solution

The third proportional to 284,004 and 607,902 is: 1,301,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004 : 607,902 = 607,902 : x
  2. Step 2: Convert to fraction form
    284,004/607,902 = 607,902/x
  3. Step 3: Cross multiply
    284,004x = 607,902 × 607,902
  4. Step 4: Simplify right side
    284,004x = 369,544,841,604
  5. Step 5: Solve for x
    x = 369,544,841,604/284,004
  6. Step 6: Final answer
    x = 1,301,195.90

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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.