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Finding the Third Proportional to 284,082 and 621,620

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Solution

The third proportional to 284,082 and 621,620 is: 1,360,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,082 : 621,620 = 621,620 : x
  2. Step 2: Convert to fraction form
    284,082/621,620 = 621,620/x
  3. Step 3: Cross multiply
    284,082x = 621,620 × 621,620
  4. Step 4: Simplify right side
    284,082x = 386,411,424,400
  5. Step 5: Solve for x
    x = 386,411,424,400/284,082
  6. Step 6: Final answer
    x = 1,360,210.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.