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Finding the Third Proportional to 334,066 and 719,831

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Solution

The third proportional to 334,066 and 719,831 is: 1,551,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,066 : 719,831 = 719,831 : x
  2. Step 2: Convert to fraction form
    334,066/719,831 = 719,831/x
  3. Step 3: Cross multiply
    334,066x = 719,831 × 719,831
  4. Step 4: Simplify right side
    334,066x = 518,156,668,561
  5. Step 5: Solve for x
    x = 518,156,668,561/334,066
  6. Step 6: Final answer
    x = 1,551,060.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.