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Finding the Third Proportional to 303,002 and 637,352

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Solution

The third proportional to 303,002 and 637,352 is: 1,340,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,002 : 637,352 = 637,352 : x
  2. Step 2: Convert to fraction form
    303,002/637,352 = 637,352/x
  3. Step 3: Cross multiply
    303,002x = 637,352 × 637,352
  4. Step 4: Simplify right side
    303,002x = 406,217,571,904
  5. Step 5: Solve for x
    x = 406,217,571,904/303,002
  6. Step 6: Final answer
    x = 1,340,643.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.