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Finding the Third Proportional to 242,464 and 526,399

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Solution

The third proportional to 242,464 and 526,399 is: 1,142,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,464 : 526,399 = 526,399 : x
  2. Step 2: Convert to fraction form
    242,464/526,399 = 526,399/x
  3. Step 3: Cross multiply
    242,464x = 526,399 × 526,399
  4. Step 4: Simplify right side
    242,464x = 277,095,907,201
  5. Step 5: Solve for x
    x = 277,095,907,201/242,464
  6. Step 6: Final answer
    x = 1,142,833.19

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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.