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Finding the Third Proportional to 302,926.50 and 637,191

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Solution

The third proportional to 302,926.50 and 637,191 is: 1,340,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,926.50 : 637,191 = 637,191 : x
  2. Step 2: Convert to fraction form
    302,926.50/637,191 = 637,191/x
  3. Step 3: Cross multiply
    302,926.50x = 637,191 × 637,191
  4. Step 4: Simplify right side
    302,926.50x = 406,012,370,481
  5. Step 5: Solve for x
    x = 406,012,370,481/302,926.50
  6. Step 6: Final answer
    x = 1,340,299.94

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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.