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Finding the Third Proportional to 334,396.50 and 723,333

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Solution

The third proportional to 334,396.50 and 723,333 is: 1,564,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396.50 : 723,333 = 723,333 : x
  2. Step 2: Convert to fraction form
    334,396.50/723,333 = 723,333/x
  3. Step 3: Cross multiply
    334,396.50x = 723,333 × 723,333
  4. Step 4: Simplify right side
    334,396.50x = 523,210,628,889
  5. Step 5: Solve for x
    x = 523,210,628,889/334,396.50
  6. Step 6: Final answer
    x = 1,564,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.