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Finding the Third Proportional to 302,786 and 448,316

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Solution

The third proportional to 302,786 and 448,316 is: 663,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,786 : 448,316 = 448,316 : x
  2. Step 2: Convert to fraction form
    302,786/448,316 = 448,316/x
  3. Step 3: Cross multiply
    302,786x = 448,316 × 448,316
  4. Step 4: Simplify right side
    302,786x = 200,987,235,856
  5. Step 5: Solve for x
    x = 200,987,235,856/302,786
  6. Step 6: Final answer
    x = 663,793.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.