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Finding the Third Proportional to 348,912 and 537,048

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Solution

The third proportional to 348,912 and 537,048 is: 826,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,912 : 537,048 = 537,048 : x
  2. Step 2: Convert to fraction form
    348,912/537,048 = 537,048/x
  3. Step 3: Cross multiply
    348,912x = 537,048 × 537,048
  4. Step 4: Simplify right side
    348,912x = 288,420,554,304
  5. Step 5: Solve for x
    x = 288,420,554,304/348,912
  6. Step 6: Final answer
    x = 826,628.36

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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.