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Finding the Third Proportional to 581,289 and 848,965.50

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Solution

The third proportional to 581,289 and 848,965.50 is: 1,239,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,289 : 848,965.50 = 848,965.50 : x
  2. Step 2: Convert to fraction form
    581,289/848,965.50 = 848,965.50/x
  3. Step 3: Cross multiply
    581,289x = 848,965.50 × 848,965.50
  4. Step 4: Simplify right side
    581,289x = 720,742,420,190.25
  5. Step 5: Solve for x
    x = 720,742,420,190.25/581,289
  6. Step 6: Final answer
    x = 1,239,903.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.