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Finding the Third Proportional to 360,842 and 549,774

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Solution

The third proportional to 360,842 and 549,774 is: 837,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,842 : 549,774 = 549,774 : x
  2. Step 2: Convert to fraction form
    360,842/549,774 = 549,774/x
  3. Step 3: Cross multiply
    360,842x = 549,774 × 549,774
  4. Step 4: Simplify right side
    360,842x = 302,251,451,076
  5. Step 5: Solve for x
    x = 302,251,451,076/360,842
  6. Step 6: Final answer
    x = 837,628.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.