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Finding the Third Proportional to 242,576 and 510,284

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Solution

The third proportional to 242,576 and 510,284 is: 1,073,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,576 : 510,284 = 510,284 : x
  2. Step 2: Convert to fraction form
    242,576/510,284 = 510,284/x
  3. Step 3: Cross multiply
    242,576x = 510,284 × 510,284
  4. Step 4: Simplify right side
    242,576x = 260,389,760,656
  5. Step 5: Solve for x
    x = 260,389,760,656/242,576
  6. Step 6: Final answer
    x = 1,073,435.79

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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.