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Finding the Third Proportional to 365,820 and 549,704

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Solution

The third proportional to 365,820 and 549,704 is: 826,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,820 : 549,704 = 549,704 : x
  2. Step 2: Convert to fraction form
    365,820/549,704 = 549,704/x
  3. Step 3: Cross multiply
    365,820x = 549,704 × 549,704
  4. Step 4: Simplify right side
    365,820x = 302,174,487,616
  5. Step 5: Solve for x
    x = 302,174,487,616/365,820
  6. Step 6: Final answer
    x = 826,019.59

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