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Finding the Third Proportional to 233,544 and 510,708

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Solution

The third proportional to 233,544 and 510,708 is: 1,116,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,544 : 510,708 = 510,708 : x
  2. Step 2: Convert to fraction form
    233,544/510,708 = 510,708/x
  3. Step 3: Cross multiply
    233,544x = 510,708 × 510,708
  4. Step 4: Simplify right side
    233,544x = 260,822,661,264
  5. Step 5: Solve for x
    x = 260,822,661,264/233,544
  6. Step 6: Final answer
    x = 1,116,803.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.