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Finding the Third Proportional to 348,828 and 525,798

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Solution

The third proportional to 348,828 and 525,798 is: 792,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,828 : 525,798 = 525,798 : x
  2. Step 2: Convert to fraction form
    348,828/525,798 = 525,798/x
  3. Step 3: Cross multiply
    348,828x = 525,798 × 525,798
  4. Step 4: Simplify right side
    348,828x = 276,463,536,804
  5. Step 5: Solve for x
    x = 276,463,536,804/348,828
  6. Step 6: Final answer
    x = 792,549.73

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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.