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Finding the Third Proportional to 334,430 and 518,045

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Solution

The third proportional to 334,430 and 518,045 is: 802,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,430 : 518,045 = 518,045 : x
  2. Step 2: Convert to fraction form
    334,430/518,045 = 518,045/x
  3. Step 3: Cross multiply
    334,430x = 518,045 × 518,045
  4. Step 4: Simplify right side
    334,430x = 268,370,622,025
  5. Step 5: Solve for x
    x = 268,370,622,025/334,430
  6. Step 6: Final answer
    x = 802,471.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.