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Finding the Third Proportional to 284,998 and 444,746

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Solution

The third proportional to 284,998 and 444,746 is: 694,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,998 : 444,746 = 444,746 : x
  2. Step 2: Convert to fraction form
    284,998/444,746 = 444,746/x
  3. Step 3: Cross multiply
    284,998x = 444,746 × 444,746
  4. Step 4: Simplify right side
    284,998x = 197,799,004,516
  5. Step 5: Solve for x
    x = 197,799,004,516/284,998
  6. Step 6: Final answer
    x = 694,036.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.