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Finding the Third Proportional to 347,454 and 550,623

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Solution

The third proportional to 347,454 and 550,623 is: 872,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,454 : 550,623 = 550,623 : x
  2. Step 2: Convert to fraction form
    347,454/550,623 = 550,623/x
  3. Step 3: Cross multiply
    347,454x = 550,623 × 550,623
  4. Step 4: Simplify right side
    347,454x = 303,185,688,129
  5. Step 5: Solve for x
    x = 303,185,688,129/347,454
  6. Step 6: Final answer
    x = 872,592.31

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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.