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Finding the Third Proportional to 330,008 and 514,722

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Solution

The third proportional to 330,008 and 514,722 is: 802,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,008 : 514,722 = 514,722 : x
  2. Step 2: Convert to fraction form
    330,008/514,722 = 514,722/x
  3. Step 3: Cross multiply
    330,008x = 514,722 × 514,722
  4. Step 4: Simplify right side
    330,008x = 264,938,737,284
  5. Step 5: Solve for x
    x = 264,938,737,284/330,008
  6. Step 6: Final answer
    x = 802,825.20

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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.