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Finding the Third Proportional to 334,193 and 517,724

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Solution

The third proportional to 334,193 and 517,724 is: 802,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,193 : 517,724 = 517,724 : x
  2. Step 2: Convert to fraction form
    334,193/517,724 = 517,724/x
  3. Step 3: Cross multiply
    334,193x = 517,724 × 517,724
  4. Step 4: Simplify right side
    334,193x = 268,038,140,176
  5. Step 5: Solve for x
    x = 268,038,140,176/334,193
  6. Step 6: Final answer
    x = 802,045.94

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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.