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Finding the Third Proportional to 348,496 and 755,492

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Solution

The third proportional to 348,496 and 755,492 is: 1,637,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,496 : 755,492 = 755,492 : x
  2. Step 2: Convert to fraction form
    348,496/755,492 = 755,492/x
  3. Step 3: Cross multiply
    348,496x = 755,492 × 755,492
  4. Step 4: Simplify right side
    348,496x = 570,768,162,064
  5. Step 5: Solve for x
    x = 570,768,162,064/348,496
  6. Step 6: Final answer
    x = 1,637,804.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.