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Finding the Third Proportional to 587,697 and 872,905.50

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Solution

The third proportional to 587,697 and 872,905.50 is: 1,296,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,697 : 872,905.50 = 872,905.50 : x
  2. Step 2: Convert to fraction form
    587,697/872,905.50 = 872,905.50/x
  3. Step 3: Cross multiply
    587,697x = 872,905.50 × 872,905.50
  4. Step 4: Simplify right side
    587,697x = 761,964,011,930.25
  5. Step 5: Solve for x
    x = 761,964,011,930.25/587,697
  6. Step 6: Final answer
    x = 1,296,525.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.