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Finding the Third Proportional to 491,697 and 742,063.50

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Solution

The third proportional to 491,697 and 742,063.50 is: 1,119,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,697 : 742,063.50 = 742,063.50 : x
  2. Step 2: Convert to fraction form
    491,697/742,063.50 = 742,063.50/x
  3. Step 3: Cross multiply
    491,697x = 742,063.50 × 742,063.50
  4. Step 4: Simplify right side
    491,697x = 550,658,238,032.25
  5. Step 5: Solve for x
    x = 550,658,238,032.25/491,697
  6. Step 6: Final answer
    x = 1,119,913.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.