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Finding the Third Proportional to 333,570 and 491,532

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Solution

The third proportional to 333,570 and 491,532 is: 724,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,570 : 491,532 = 491,532 : x
  2. Step 2: Convert to fraction form
    333,570/491,532 = 491,532/x
  3. Step 3: Cross multiply
    333,570x = 491,532 × 491,532
  4. Step 4: Simplify right side
    333,570x = 241,603,707,024
  5. Step 5: Solve for x
    x = 241,603,707,024/333,570
  6. Step 6: Final answer
    x = 724,296.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.