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Finding the Third Proportional to 345,001 and 523,729

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Solution

The third proportional to 345,001 and 523,729 is: 795,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,001 : 523,729 = 523,729 : x
  2. Step 2: Convert to fraction form
    345,001/523,729 = 523,729/x
  3. Step 3: Cross multiply
    345,001x = 523,729 × 523,729
  4. Step 4: Simplify right side
    345,001x = 274,292,065,441
  5. Step 5: Solve for x
    x = 274,292,065,441/345,001
  6. Step 6: Final answer
    x = 795,047.16

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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.