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Finding the Third Proportional to 333,466 and 730,179

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Solution

The third proportional to 333,466 and 730,179 is: 1,598,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,466 : 730,179 = 730,179 : x
  2. Step 2: Convert to fraction form
    333,466/730,179 = 730,179/x
  3. Step 3: Cross multiply
    333,466x = 730,179 × 730,179
  4. Step 4: Simplify right side
    333,466x = 533,161,372,041
  5. Step 5: Solve for x
    x = 533,161,372,041/333,466
  6. Step 6: Final answer
    x = 1,598,847.77

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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.