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Finding the Third Proportional to 213,733 and 333,539

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Solution

The third proportional to 213,733 and 333,539 is: 520,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733 : 333,539 = 333,539 : x
  2. Step 2: Convert to fraction form
    213,733/333,539 = 333,539/x
  3. Step 3: Cross multiply
    213,733x = 333,539 × 333,539
  4. Step 4: Simplify right side
    213,733x = 111,248,264,521
  5. Step 5: Solve for x
    x = 111,248,264,521/213,733
  6. Step 6: Final answer
    x = 520,501.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.