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Finding the Third Proportional to 475,884 and 700,668

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Solution

The third proportional to 475,884 and 700,668 is: 1,031,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,884 : 700,668 = 700,668 : x
  2. Step 2: Convert to fraction form
    475,884/700,668 = 700,668/x
  3. Step 3: Cross multiply
    475,884x = 700,668 × 700,668
  4. Step 4: Simplify right side
    475,884x = 490,935,646,224
  5. Step 5: Solve for x
    x = 490,935,646,224/475,884
  6. Step 6: Final answer
    x = 1,031,628.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.