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Finding the Third Proportional to 242,034 and 524,893.50

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Solution

The third proportional to 242,034 and 524,893.50 is: 1,138,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,034 : 524,893.50 = 524,893.50 : x
  2. Step 2: Convert to fraction form
    242,034/524,893.50 = 524,893.50/x
  3. Step 3: Cross multiply
    242,034x = 524,893.50 × 524,893.50
  4. Step 4: Simplify right side
    242,034x = 275,513,186,342.25
  5. Step 5: Solve for x
    x = 275,513,186,342.25/242,034
  6. Step 6: Final answer
    x = 1,138,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.