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Finding the Third Proportional to 285,942 and 424,050

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Solution

The third proportional to 285,942 and 424,050 is: 628,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,942 : 424,050 = 424,050 : x
  2. Step 2: Convert to fraction form
    285,942/424,050 = 424,050/x
  3. Step 3: Cross multiply
    285,942x = 424,050 × 424,050
  4. Step 4: Simplify right side
    285,942x = 179,818,402,500
  5. Step 5: Solve for x
    x = 179,818,402,500/285,942
  6. Step 6: Final answer
    x = 628,863.20

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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.