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Finding the Third Proportional to 302,936 and 637,210

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Solution

The third proportional to 302,936 and 637,210 is: 1,340,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,936 : 637,210 = 637,210 : x
  2. Step 2: Convert to fraction form
    302,936/637,210 = 637,210/x
  3. Step 3: Cross multiply
    302,936x = 637,210 × 637,210
  4. Step 4: Simplify right side
    302,936x = 406,036,584,100
  5. Step 5: Solve for x
    x = 406,036,584,100/302,936
  6. Step 6: Final answer
    x = 1,340,337.84

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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.