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Finding the Third Proportional to 264,496.50 and 385,420.50

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Solution

The third proportional to 264,496.50 and 385,420.50 is: 561,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,496.50 : 385,420.50 = 385,420.50 : x
  2. Step 2: Convert to fraction form
    264,496.50/385,420.50 = 385,420.50/x
  3. Step 3: Cross multiply
    264,496.50x = 385,420.50 × 385,420.50
  4. Step 4: Simplify right side
    264,496.50x = 148,548,961,820.25
  5. Step 5: Solve for x
    x = 148,548,961,820.25/264,496.50
  6. Step 6: Final answer
    x = 561,629.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.