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Finding the Third Proportional to 345,421.13 and 523,496.25

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Solution

The third proportional to 345,421.13 and 523,496.25 is: 793,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421.13 : 523,496.25 = 523,496.25 : x
  2. Step 2: Convert to fraction form
    345,421.13/523,496.25 = 523,496.25/x
  3. Step 3: Cross multiply
    345,421.13x = 523,496.25 × 523,496.25
  4. Step 4: Simplify right side
    345,421.13x = 274,048,323,764.06
  5. Step 5: Solve for x
    x = 274,048,323,764.06/345,421.13
  6. Step 6: Final answer
    x = 793,374.53

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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.