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Finding the Third Proportional to 246,200 and 535,537

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Solution

The third proportional to 246,200 and 535,537 is: 1,164,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,200 : 535,537 = 535,537 : x
  2. Step 2: Convert to fraction form
    246,200/535,537 = 535,537/x
  3. Step 3: Cross multiply
    246,200x = 535,537 × 535,537
  4. Step 4: Simplify right side
    246,200x = 286,799,878,369
  5. Step 5: Solve for x
    x = 286,799,878,369/246,200
  6. Step 6: Final answer
    x = 1,164,906.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.