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Finding the Third Proportional to 528,505 and 932,882

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Solution

The third proportional to 528,505 and 932,882 is: 1,646,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,505 : 932,882 = 932,882 : x
  2. Step 2: Convert to fraction form
    528,505/932,882 = 932,882/x
  3. Step 3: Cross multiply
    528,505x = 932,882 × 932,882
  4. Step 4: Simplify right side
    528,505x = 870,268,825,924
  5. Step 5: Solve for x
    x = 870,268,825,924/528,505
  6. Step 6: Final answer
    x = 1,646,661.48

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.