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Finding the Third Proportional to 374,845.22 and 535,655.53

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Solution

The third proportional to 374,845.22 and 535,655.53 is: 765,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,845.22 : 535,655.53 = 535,655.53 : x
  2. Step 2: Convert to fraction form
    374,845.22/535,655.53 = 535,655.53/x
  3. Step 3: Cross multiply
    374,845.22x = 535,655.53 × 535,655.53
  4. Step 4: Simplify right side
    374,845.22x = 286,926,848,158.72
  5. Step 5: Solve for x
    x = 286,926,848,158.72/374,845.22
  6. Step 6: Final answer
    x = 765,454.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.