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Finding the Third Proportional to 201,789 and 424,490.63

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Solution

The third proportional to 201,789 and 424,490.63 is: 892,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789 : 424,490.63 = 424,490.63 : x
  2. Step 2: Convert to fraction form
    201,789/424,490.63 = 424,490.63/x
  3. Step 3: Cross multiply
    201,789x = 424,490.63 × 424,490.63
  4. Step 4: Simplify right side
    201,789x = 180,192,290,712.89
  5. Step 5: Solve for x
    x = 180,192,290,712.89/201,789
  6. Step 6: Final answer
    x = 892,973.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.