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Finding the Third Proportional to 330,006 and 514,719

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Solution

The third proportional to 330,006 and 514,719 is: 802,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,006 : 514,719 = 514,719 : x
  2. Step 2: Convert to fraction form
    330,006/514,719 = 514,719/x
  3. Step 3: Cross multiply
    330,006x = 514,719 × 514,719
  4. Step 4: Simplify right side
    330,006x = 264,935,648,961
  5. Step 5: Solve for x
    x = 264,935,648,961/330,006
  6. Step 6: Final answer
    x = 802,820.70

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