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Finding the Third Proportional to 302,017 and 453,002

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Solution

The third proportional to 302,017 and 453,002 is: 679,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017 : 453,002 = 453,002 : x
  2. Step 2: Convert to fraction form
    302,017/453,002 = 453,002/x
  3. Step 3: Cross multiply
    302,017x = 453,002 × 453,002
  4. Step 4: Simplify right side
    302,017x = 205,210,812,004
  5. Step 5: Solve for x
    x = 205,210,812,004/302,017
  6. Step 6: Final answer
    x = 679,467.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.