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Finding the Third Proportional to 517,818 and 696,546

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Solution

The third proportional to 517,818 and 696,546 is: 936,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,818 : 696,546 = 696,546 : x
  2. Step 2: Convert to fraction form
    517,818/696,546 = 696,546/x
  3. Step 3: Cross multiply
    517,818x = 696,546 × 696,546
  4. Step 4: Simplify right side
    517,818x = 485,176,330,116
  5. Step 5: Solve for x
    x = 485,176,330,116/517,818
  6. Step 6: Final answer
    x = 936,963.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.