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Finding the Third Proportional to 348,765 and 525,714

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Solution

The third proportional to 348,765 and 525,714 is: 792,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,765 : 525,714 = 525,714 : x
  2. Step 2: Convert to fraction form
    348,765/525,714 = 525,714/x
  3. Step 3: Cross multiply
    348,765x = 525,714 × 525,714
  4. Step 4: Simplify right side
    348,765x = 276,375,209,796
  5. Step 5: Solve for x
    x = 276,375,209,796/348,765
  6. Step 6: Final answer
    x = 792,439.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.