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Finding the Third Proportional to 506,886 and 758,826

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Solution

The third proportional to 506,886 and 758,826 is: 1,135,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,886 : 758,826 = 758,826 : x
  2. Step 2: Convert to fraction form
    506,886/758,826 = 758,826/x
  3. Step 3: Cross multiply
    506,886x = 758,826 × 758,826
  4. Step 4: Simplify right side
    506,886x = 575,816,898,276
  5. Step 5: Solve for x
    x = 575,816,898,276/506,886
  6. Step 6: Final answer
    x = 1,135,988.96

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