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Finding the Third Proportional to 347,259 and 737,151

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Solution

The third proportional to 347,259 and 737,151 is: 1,564,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,259 : 737,151 = 737,151 : x
  2. Step 2: Convert to fraction form
    347,259/737,151 = 737,151/x
  3. Step 3: Cross multiply
    347,259x = 737,151 × 737,151
  4. Step 4: Simplify right side
    347,259x = 543,391,596,801
  5. Step 5: Solve for x
    x = 543,391,596,801/347,259
  6. Step 6: Final answer
    x = 1,564,802.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.