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Finding the Third Proportional to 348,634 and 752,564

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Solution

The third proportional to 348,634 and 752,564 is: 1,624,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,634 : 752,564 = 752,564 : x
  2. Step 2: Convert to fraction form
    348,634/752,564 = 752,564/x
  3. Step 3: Cross multiply
    348,634x = 752,564 × 752,564
  4. Step 4: Simplify right side
    348,634x = 566,352,574,096
  5. Step 5: Solve for x
    x = 566,352,574,096/348,634
  6. Step 6: Final answer
    x = 1,624,490.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.