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Finding the Third Proportional to 242,320 and 496,724

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Solution

The third proportional to 242,320 and 496,724 is: 1,018,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,320 : 496,724 = 496,724 : x
  2. Step 2: Convert to fraction form
    242,320/496,724 = 496,724/x
  3. Step 3: Cross multiply
    242,320x = 496,724 × 496,724
  4. Step 4: Simplify right side
    242,320x = 246,734,732,176
  5. Step 5: Solve for x
    x = 246,734,732,176/242,320
  6. Step 6: Final answer
    x = 1,018,218.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.