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Finding the Third Proportional to 348,480 and 755,968

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Solution

The third proportional to 348,480 and 755,968 is: 1,639,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,480 : 755,968 = 755,968 : x
  2. Step 2: Convert to fraction form
    348,480/755,968 = 755,968/x
  3. Step 3: Cross multiply
    348,480x = 755,968 × 755,968
  4. Step 4: Simplify right side
    348,480x = 571,487,617,024
  5. Step 5: Solve for x
    x = 571,487,617,024/348,480
  6. Step 6: Final answer
    x = 1,639,943.80

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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.