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Finding the Third Proportional to 561,326 and 879,542.50

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Solution

The third proportional to 561,326 and 879,542.50 is: 1,378,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,326 : 879,542.50 = 879,542.50 : x
  2. Step 2: Convert to fraction form
    561,326/879,542.50 = 879,542.50/x
  3. Step 3: Cross multiply
    561,326x = 879,542.50 × 879,542.50
  4. Step 4: Simplify right side
    561,326x = 773,595,009,306.25
  5. Step 5: Solve for x
    x = 773,595,009,306.25/561,326
  6. Step 6: Final answer
    x = 1,378,156.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.