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Finding the Third Proportional to 528,504 and 932,880

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Solution

The third proportional to 528,504 and 932,880 is: 1,646,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,504 : 932,880 = 932,880 : x
  2. Step 2: Convert to fraction form
    528,504/932,880 = 932,880/x
  3. Step 3: Cross multiply
    528,504x = 932,880 × 932,880
  4. Step 4: Simplify right side
    528,504x = 870,265,094,400
  5. Step 5: Solve for x
    x = 870,265,094,400/528,504
  6. Step 6: Final answer
    x = 1,646,657.54

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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.