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Finding the Third Proportional to 242,967 and 510,504

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Solution

The third proportional to 242,967 and 510,504 is: 1,072,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,967 : 510,504 = 510,504 : x
  2. Step 2: Convert to fraction form
    242,967/510,504 = 510,504/x
  3. Step 3: Cross multiply
    242,967x = 510,504 × 510,504
  4. Step 4: Simplify right side
    242,967x = 260,614,334,016
  5. Step 5: Solve for x
    x = 260,614,334,016/242,967
  6. Step 6: Final answer
    x = 1,072,632.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.