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Finding the Third Proportional to 246,144 and 535,488

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Solution

The third proportional to 246,144 and 535,488 is: 1,164,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,144 : 535,488 = 535,488 : x
  2. Step 2: Convert to fraction form
    246,144/535,488 = 535,488/x
  3. Step 3: Cross multiply
    246,144x = 535,488 × 535,488
  4. Step 4: Simplify right side
    246,144x = 286,747,398,144
  5. Step 5: Solve for x
    x = 286,747,398,144/246,144
  6. Step 6: Final answer
    x = 1,164,957.90

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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.