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Finding the Third Proportional to 391,263 and 824,554.50

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Solution

The third proportional to 391,263 and 824,554.50 is: 1,737,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,263 : 824,554.50 = 824,554.50 : x
  2. Step 2: Convert to fraction form
    391,263/824,554.50 = 824,554.50/x
  3. Step 3: Cross multiply
    391,263x = 824,554.50 × 824,554.50
  4. Step 4: Simplify right side
    391,263x = 679,890,123,470.25
  5. Step 5: Solve for x
    x = 679,890,123,470.25/391,263
  6. Step 6: Final answer
    x = 1,737,680.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.