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Finding the Third Proportional to 551,731.50 and 741,438.56

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Solution

The third proportional to 551,731.50 and 741,438.56 is: 996,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,731.50 : 741,438.56 = 741,438.56 : x
  2. Step 2: Convert to fraction form
    551,731.50/741,438.56 = 741,438.56/x
  3. Step 3: Cross multiply
    551,731.50x = 741,438.56 × 741,438.56
  4. Step 4: Simplify right side
    551,731.50x = 549,731,141,962.07
  5. Step 5: Solve for x
    x = 549,731,141,962.07/551,731.50
  6. Step 6: Final answer
    x = 996,374.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.