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Finding the Third Proportional to 360,835.50 and 549,764.25

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Solution

The third proportional to 360,835.50 and 549,764.25 is: 837,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,835.50 : 549,764.25 = 549,764.25 : x
  2. Step 2: Convert to fraction form
    360,835.50/549,764.25 = 549,764.25/x
  3. Step 3: Cross multiply
    360,835.50x = 549,764.25 × 549,764.25
  4. Step 4: Simplify right side
    360,835.50x = 302,240,730,578.06
  5. Step 5: Solve for x
    x = 302,240,730,578.06/360,835.50
  6. Step 6: Final answer
    x = 837,613.62

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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.