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Finding the Third Proportional to 246,332 and 538,389

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Solution

The third proportional to 246,332 and 538,389 is: 1,176,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,332 : 538,389 = 538,389 : x
  2. Step 2: Convert to fraction form
    246,332/538,389 = 538,389/x
  3. Step 3: Cross multiply
    246,332x = 538,389 × 538,389
  4. Step 4: Simplify right side
    246,332x = 289,862,715,321
  5. Step 5: Solve for x
    x = 289,862,715,321/246,332
  6. Step 6: Final answer
    x = 1,176,715.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.