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Finding the Third Proportional to 365,796 and 549,666

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Solution

The third proportional to 365,796 and 549,666 is: 825,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796 : 549,666 = 549,666 : x
  2. Step 2: Convert to fraction form
    365,796/549,666 = 549,666/x
  3. Step 3: Cross multiply
    365,796x = 549,666 × 549,666
  4. Step 4: Simplify right side
    365,796x = 302,132,711,556
  5. Step 5: Solve for x
    x = 302,132,711,556/365,796
  6. Step 6: Final answer
    x = 825,959.58

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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.