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Finding the Third Proportional to 244,257 and 348,646

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Solution

The third proportional to 244,257 and 348,646 is: 497,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,257 : 348,646 = 348,646 : x
  2. Step 2: Convert to fraction form
    244,257/348,646 = 348,646/x
  3. Step 3: Cross multiply
    244,257x = 348,646 × 348,646
  4. Step 4: Simplify right side
    244,257x = 121,554,033,316
  5. Step 5: Solve for x
    x = 121,554,033,316/244,257
  6. Step 6: Final answer
    x = 497,648.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.