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Finding the Third Proportional to 528,506 and 932,884

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Solution

The third proportional to 528,506 and 932,884 is: 1,646,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,506 : 932,884 = 932,884 : x
  2. Step 2: Convert to fraction form
    528,506/932,884 = 932,884/x
  3. Step 3: Cross multiply
    528,506x = 932,884 × 932,884
  4. Step 4: Simplify right side
    528,506x = 870,272,557,456
  5. Step 5: Solve for x
    x = 870,272,557,456/528,506
  6. Step 6: Final answer
    x = 1,646,665.43

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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.