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Finding the Third Proportional to 232,704 and 506,880

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Solution

The third proportional to 232,704 and 506,880 is: 1,104,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 506,880 = 506,880 : x
  2. Step 2: Convert to fraction form
    232,704/506,880 = 506,880/x
  3. Step 3: Cross multiply
    232,704x = 506,880 × 506,880
  4. Step 4: Simplify right side
    232,704x = 256,927,334,400
  5. Step 5: Solve for x
    x = 256,927,334,400/232,704
  6. Step 6: Final answer
    x = 1,104,095.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.