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Finding the Third Proportional to 348,586 and 755,784

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Solution

The third proportional to 348,586 and 755,784 is: 1,638,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,586 : 755,784 = 755,784 : x
  2. Step 2: Convert to fraction form
    348,586/755,784 = 755,784/x
  3. Step 3: Cross multiply
    348,586x = 755,784 × 755,784
  4. Step 4: Simplify right side
    348,586x = 571,209,454,656
  5. Step 5: Solve for x
    x = 571,209,454,656/348,586
  6. Step 6: Final answer
    x = 1,638,647.15

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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.