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Finding the Third Proportional to 454,697 and 679,237.50

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Solution

The third proportional to 454,697 and 679,237.50 is: 1,014,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,697 : 679,237.50 = 679,237.50 : x
  2. Step 2: Convert to fraction form
    454,697/679,237.50 = 679,237.50/x
  3. Step 3: Cross multiply
    454,697x = 679,237.50 × 679,237.50
  4. Step 4: Simplify right side
    454,697x = 461,363,581,406.25
  5. Step 5: Solve for x
    x = 461,363,581,406.25/454,697
  6. Step 6: Final answer
    x = 1,014,661.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.