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Finding the Third Proportional to 334,390.50 and 723,321

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Solution

The third proportional to 334,390.50 and 723,321 is: 1,564,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,390.50 : 723,321 = 723,321 : x
  2. Step 2: Convert to fraction form
    334,390.50/723,321 = 723,321/x
  3. Step 3: Cross multiply
    334,390.50x = 723,321 × 723,321
  4. Step 4: Simplify right side
    334,390.50x = 523,193,269,041
  5. Step 5: Solve for x
    x = 523,193,269,041/334,390.50
  6. Step 6: Final answer
    x = 1,564,617.62

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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.