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Finding the Third Proportional to 471,846 and 750,513

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Solution

The third proportional to 471,846 and 750,513 is: 1,193,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,846 : 750,513 = 750,513 : x
  2. Step 2: Convert to fraction form
    471,846/750,513 = 750,513/x
  3. Step 3: Cross multiply
    471,846x = 750,513 × 750,513
  4. Step 4: Simplify right side
    471,846x = 563,269,763,169
  5. Step 5: Solve for x
    x = 563,269,763,169/471,846
  6. Step 6: Final answer
    x = 1,193,757.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.