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Finding the Third Proportional to 500,886 and 751,545

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Solution

The third proportional to 500,886 and 751,545 is: 1,127,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,886 : 751,545 = 751,545 : x
  2. Step 2: Convert to fraction form
    500,886/751,545 = 751,545/x
  3. Step 3: Cross multiply
    500,886x = 751,545 × 751,545
  4. Step 4: Simplify right side
    500,886x = 564,819,887,025
  5. Step 5: Solve for x
    x = 564,819,887,025/500,886
  6. Step 6: Final answer
    x = 1,127,641.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.