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Finding the Third Proportional to 356,022 and 549,738

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Solution

The third proportional to 356,022 and 549,738 is: 848,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,022 : 549,738 = 549,738 : x
  2. Step 2: Convert to fraction form
    356,022/549,738 = 549,738/x
  3. Step 3: Cross multiply
    356,022x = 549,738 × 549,738
  4. Step 4: Simplify right side
    356,022x = 302,211,868,644
  5. Step 5: Solve for x
    x = 302,211,868,644/356,022
  6. Step 6: Final answer
    x = 848,857.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.