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Finding the Third Proportional to 242,532 and 494,928

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Solution

The third proportional to 242,532 and 494,928 is: 1,009,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,532 : 494,928 = 494,928 : x
  2. Step 2: Convert to fraction form
    242,532/494,928 = 494,928/x
  3. Step 3: Cross multiply
    242,532x = 494,928 × 494,928
  4. Step 4: Simplify right side
    242,532x = 244,953,725,184
  5. Step 5: Solve for x
    x = 244,953,725,184/242,532
  6. Step 6: Final answer
    x = 1,009,985.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.