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Finding the Third Proportional to 302,472 and 470,452.50

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Solution

The third proportional to 302,472 and 470,452.50 is: 731,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,472 : 470,452.50 = 470,452.50 : x
  2. Step 2: Convert to fraction form
    302,472/470,452.50 = 470,452.50/x
  3. Step 3: Cross multiply
    302,472x = 470,452.50 × 470,452.50
  4. Step 4: Simplify right side
    302,472x = 221,325,554,756.25
  5. Step 5: Solve for x
    x = 221,325,554,756.25/302,472
  6. Step 6: Final answer
    x = 731,722.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.