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Finding the Third Proportional to 330,066 and 514,819

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Solution

The third proportional to 330,066 and 514,819 is: 802,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,066 : 514,819 = 514,819 : x
  2. Step 2: Convert to fraction form
    330,066/514,819 = 514,819/x
  3. Step 3: Cross multiply
    330,066x = 514,819 × 514,819
  4. Step 4: Simplify right side
    330,066x = 265,038,602,761
  5. Step 5: Solve for x
    x = 265,038,602,761/330,066
  6. Step 6: Final answer
    x = 802,986.68

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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.