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Finding the Third Proportional to 242,358 and 496,468

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Solution

The third proportional to 242,358 and 496,468 is: 1,017,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358 : 496,468 = 496,468 : x
  2. Step 2: Convert to fraction form
    242,358/496,468 = 496,468/x
  3. Step 3: Cross multiply
    242,358x = 496,468 × 496,468
  4. Step 4: Simplify right side
    242,358x = 246,480,475,024
  5. Step 5: Solve for x
    x = 246,480,475,024/242,358
  6. Step 6: Final answer
    x = 1,017,009.86

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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.