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Finding the Third Proportional to 301,483.13 and 479,899.13

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Solution

The third proportional to 301,483.13 and 479,899.13 is: 763,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,483.13 : 479,899.13 = 479,899.13 : x
  2. Step 2: Convert to fraction form
    301,483.13/479,899.13 = 479,899.13/x
  3. Step 3: Cross multiply
    301,483.13x = 479,899.13 × 479,899.13
  4. Step 4: Simplify right side
    301,483.13x = 230,303,170,175.77
  5. Step 5: Solve for x
    x = 230,303,170,175.77/301,483.13
  6. Step 6: Final answer
    x = 763,900.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.