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Finding the Third Proportional to 333,479 and 741,566

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Solution

The third proportional to 333,479 and 741,566 is: 1,649,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,479 : 741,566 = 741,566 : x
  2. Step 2: Convert to fraction form
    333,479/741,566 = 741,566/x
  3. Step 3: Cross multiply
    333,479x = 741,566 × 741,566
  4. Step 4: Simplify right side
    333,479x = 549,920,132,356
  5. Step 5: Solve for x
    x = 549,920,132,356/333,479
  6. Step 6: Final answer
    x = 1,649,039.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.