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Finding the Third Proportional to 587,515 and 792,697.50

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Solution

The third proportional to 587,515 and 792,697.50 is: 1,069,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,515 : 792,697.50 = 792,697.50 : x
  2. Step 2: Convert to fraction form
    587,515/792,697.50 = 792,697.50/x
  3. Step 3: Cross multiply
    587,515x = 792,697.50 × 792,697.50
  4. Step 4: Simplify right side
    587,515x = 628,369,326,506.25
  5. Step 5: Solve for x
    x = 628,369,326,506.25/587,515
  6. Step 6: Final answer
    x = 1,069,537.50

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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.