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Finding the Third Proportional to 246,148 and 535,496

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Solution

The third proportional to 246,148 and 535,496 is: 1,164,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,148 : 535,496 = 535,496 : x
  2. Step 2: Convert to fraction form
    246,148/535,496 = 535,496/x
  3. Step 3: Cross multiply
    246,148x = 535,496 × 535,496
  4. Step 4: Simplify right side
    246,148x = 286,755,966,016
  5. Step 5: Solve for x
    x = 286,755,966,016/246,148
  6. Step 6: Final answer
    x = 1,164,973.78

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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.