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Finding the Third Proportional to 587,155 and 899,686.50

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Solution

The third proportional to 587,155 and 899,686.50 is: 1,378,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,155 : 899,686.50 = 899,686.50 : x
  2. Step 2: Convert to fraction form
    587,155/899,686.50 = 899,686.50/x
  3. Step 3: Cross multiply
    587,155x = 899,686.50 × 899,686.50
  4. Step 4: Simplify right side
    587,155x = 809,435,798,282.25
  5. Step 5: Solve for x
    x = 809,435,798,282.25/587,155
  6. Step 6: Final answer
    x = 1,378,572.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.