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Finding the Third Proportional to 242,996 and 525,928

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Solution

The third proportional to 242,996 and 525,928 is: 1,138,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,996 : 525,928 = 525,928 : x
  2. Step 2: Convert to fraction form
    242,996/525,928 = 525,928/x
  3. Step 3: Cross multiply
    242,996x = 525,928 × 525,928
  4. Step 4: Simplify right side
    242,996x = 276,600,261,184
  5. Step 5: Solve for x
    x = 276,600,261,184/242,996
  6. Step 6: Final answer
    x = 1,138,291.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.