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Finding the Third Proportional to 348,492 and 755,484

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Solution

The third proportional to 348,492 and 755,484 is: 1,637,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,492 : 755,484 = 755,484 : x
  2. Step 2: Convert to fraction form
    348,492/755,484 = 755,484/x
  3. Step 3: Cross multiply
    348,492x = 755,484 × 755,484
  4. Step 4: Simplify right side
    348,492x = 570,756,074,256
  5. Step 5: Solve for x
    x = 570,756,074,256/348,492
  6. Step 6: Final answer
    x = 1,637,788.17

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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.