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Finding the Third Proportional to 491,865.50 and 723,732

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Solution

The third proportional to 491,865.50 and 723,732 is: 1,064,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,865.50 : 723,732 = 723,732 : x
  2. Step 2: Convert to fraction form
    491,865.50/723,732 = 723,732/x
  3. Step 3: Cross multiply
    491,865.50x = 723,732 × 723,732
  4. Step 4: Simplify right side
    491,865.50x = 523,788,007,824
  5. Step 5: Solve for x
    x = 523,788,007,824/491,865.50
  6. Step 6: Final answer
    x = 1,064,900.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.