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Finding the Third Proportional to 391,928 and 572,766.50

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Solution

The third proportional to 391,928 and 572,766.50 is: 837,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,928 : 572,766.50 = 572,766.50 : x
  2. Step 2: Convert to fraction form
    391,928/572,766.50 = 572,766.50/x
  3. Step 3: Cross multiply
    391,928x = 572,766.50 × 572,766.50
  4. Step 4: Simplify right side
    391,928x = 328,061,463,522.25
  5. Step 5: Solve for x
    x = 328,061,463,522.25/391,928
  6. Step 6: Final answer
    x = 837,045.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.