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Finding the Third Proportional to 333,518 and 730,282

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Solution

The third proportional to 333,518 and 730,282 is: 1,599,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,518 : 730,282 = 730,282 : x
  2. Step 2: Convert to fraction form
    333,518/730,282 = 730,282/x
  3. Step 3: Cross multiply
    333,518x = 730,282 × 730,282
  4. Step 4: Simplify right side
    333,518x = 533,311,799,524
  5. Step 5: Solve for x
    x = 533,311,799,524/333,518
  6. Step 6: Final answer
    x = 1,599,049.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.