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Finding the Third Proportional to 242,492 and 526,952

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Solution

The third proportional to 242,492 and 526,952 is: 1,145,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,492 : 526,952 = 526,952 : x
  2. Step 2: Convert to fraction form
    242,492/526,952 = 526,952/x
  3. Step 3: Cross multiply
    242,492x = 526,952 × 526,952
  4. Step 4: Simplify right side
    242,492x = 277,678,410,304
  5. Step 5: Solve for x
    x = 277,678,410,304/242,492
  6. Step 6: Final answer
    x = 1,145,103.39

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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.