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Finding the Third Proportional to 284,744 and 400,528

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Solution

The third proportional to 284,744 and 400,528 is: 563,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,744 : 400,528 = 400,528 : x
  2. Step 2: Convert to fraction form
    284,744/400,528 = 400,528/x
  3. Step 3: Cross multiply
    284,744x = 400,528 × 400,528
  4. Step 4: Simplify right side
    284,744x = 160,422,678,784
  5. Step 5: Solve for x
    x = 160,422,678,784/284,744
  6. Step 6: Final answer
    x = 563,392.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.