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Finding the Third Proportional to 365,838 and 549,731

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Solution

The third proportional to 365,838 and 549,731 is: 826,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,838 : 549,731 = 549,731 : x
  2. Step 2: Convert to fraction form
    365,838/549,731 = 549,731/x
  3. Step 3: Cross multiply
    365,838x = 549,731 × 549,731
  4. Step 4: Simplify right side
    365,838x = 302,204,172,361
  5. Step 5: Solve for x
    x = 302,204,172,361/365,838
  6. Step 6: Final answer
    x = 826,060.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.