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Finding the Third Proportional to 347,415 and 550,566

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Solution

The third proportional to 347,415 and 550,566 is: 872,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,415 : 550,566 = 550,566 : x
  2. Step 2: Convert to fraction form
    347,415/550,566 = 550,566/x
  3. Step 3: Cross multiply
    347,415x = 550,566 × 550,566
  4. Step 4: Simplify right side
    347,415x = 303,122,920,356
  5. Step 5: Solve for x
    x = 303,122,920,356/347,415
  6. Step 6: Final answer
    x = 872,509.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.