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Finding the Third Proportional to 348,936 and 536,988

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Solution

The third proportional to 348,936 and 536,988 is: 826,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,936 : 536,988 = 536,988 : x
  2. Step 2: Convert to fraction form
    348,936/536,988 = 536,988/x
  3. Step 3: Cross multiply
    348,936x = 536,988 × 536,988
  4. Step 4: Simplify right side
    348,936x = 288,356,112,144
  5. Step 5: Solve for x
    x = 288,356,112,144/348,936
  6. Step 6: Final answer
    x = 826,386.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.