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Finding the Third Proportional to 549,838.13 and 768,136.50

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Solution

The third proportional to 549,838.13 and 768,136.50 is: 1,073,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,838.13 : 768,136.50 = 768,136.50 : x
  2. Step 2: Convert to fraction form
    549,838.13/768,136.50 = 768,136.50/x
  3. Step 3: Cross multiply
    549,838.13x = 768,136.50 × 768,136.50
  4. Step 4: Simplify right side
    549,838.13x = 590,033,682,632.25
  5. Step 5: Solve for x
    x = 590,033,682,632.25/549,838.13
  6. Step 6: Final answer
    x = 1,073,104.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.