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Finding the Third Proportional to 365,822 and 549,707

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Solution

The third proportional to 365,822 and 549,707 is: 826,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,822 : 549,707 = 549,707 : x
  2. Step 2: Convert to fraction form
    365,822/549,707 = 549,707/x
  3. Step 3: Cross multiply
    365,822x = 549,707 × 549,707
  4. Step 4: Simplify right side
    365,822x = 302,177,785,849
  5. Step 5: Solve for x
    x = 302,177,785,849/365,822
  6. Step 6: Final answer
    x = 826,024.09

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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.