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Finding the Third Proportional to 581,601 and 785,605.50

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Solution

The third proportional to 581,601 and 785,605.50 is: 1,061,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,601 : 785,605.50 = 785,605.50 : x
  2. Step 2: Convert to fraction form
    581,601/785,605.50 = 785,605.50/x
  3. Step 3: Cross multiply
    581,601x = 785,605.50 × 785,605.50
  4. Step 4: Simplify right side
    581,601x = 617,176,001,630.25
  5. Step 5: Solve for x
    x = 617,176,001,630.25/581,601
  6. Step 6: Final answer
    x = 1,061,167.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.