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Finding the Third Proportional to 581,467.50 and 853,065

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Solution

The third proportional to 581,467.50 and 853,065 is: 1,251,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,467.50 : 853,065 = 853,065 : x
  2. Step 2: Convert to fraction form
    581,467.50/853,065 = 853,065/x
  3. Step 3: Cross multiply
    581,467.50x = 853,065 × 853,065
  4. Step 4: Simplify right side
    581,467.50x = 727,719,894,225
  5. Step 5: Solve for x
    x = 727,719,894,225/581,467.50
  6. Step 6: Final answer
    x = 1,251,522.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.