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Finding the Third Proportional to 400,674.75 and 572,925.38

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Solution

The third proportional to 400,674.75 and 572,925.38 is: 819,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,674.75 : 572,925.38 = 572,925.38 : x
  2. Step 2: Convert to fraction form
    400,674.75/572,925.38 = 572,925.38/x
  3. Step 3: Cross multiply
    400,674.75x = 572,925.38 × 572,925.38
  4. Step 4: Simplify right side
    400,674.75x = 328,243,485,318.89
  5. Step 5: Solve for x
    x = 328,243,485,318.89/400,674.75
  6. Step 6: Final answer
    x = 819,226.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.