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Finding the Third Proportional to 474,217.50 and 711,333

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Solution

The third proportional to 474,217.50 and 711,333 is: 1,067,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,217.50 : 711,333 = 711,333 : x
  2. Step 2: Convert to fraction form
    474,217.50/711,333 = 711,333/x
  3. Step 3: Cross multiply
    474,217.50x = 711,333 × 711,333
  4. Step 4: Simplify right side
    474,217.50x = 505,994,636,889
  5. Step 5: Solve for x
    x = 505,994,636,889/474,217.50
  6. Step 6: Final answer
    x = 1,067,009.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.