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Finding the Third Proportional to 302,427 and 446,743.50

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Solution

The third proportional to 302,427 and 446,743.50 is: 659,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427 : 446,743.50 = 446,743.50 : x
  2. Step 2: Convert to fraction form
    302,427/446,743.50 = 446,743.50/x
  3. Step 3: Cross multiply
    302,427x = 446,743.50 × 446,743.50
  4. Step 4: Simplify right side
    302,427x = 199,579,754,792.25
  5. Step 5: Solve for x
    x = 199,579,754,792.25/302,427
  6. Step 6: Final answer
    x = 659,927.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.