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Finding the Third Proportional to 483,802 and 762,808

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Solution

The third proportional to 483,802 and 762,808 is: 1,202,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,802 : 762,808 = 762,808 : x
  2. Step 2: Convert to fraction form
    483,802/762,808 = 762,808/x
  3. Step 3: Cross multiply
    483,802x = 762,808 × 762,808
  4. Step 4: Simplify right side
    483,802x = 581,876,044,864
  5. Step 5: Solve for x
    x = 581,876,044,864/483,802
  6. Step 6: Final answer
    x = 1,202,715.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.