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Finding the Third Proportional to 347,600 and 465,564

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Solution

The third proportional to 347,600 and 465,564 is: 623,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,600 : 465,564 = 465,564 : x
  2. Step 2: Convert to fraction form
    347,600/465,564 = 465,564/x
  3. Step 3: Cross multiply
    347,600x = 465,564 × 465,564
  4. Step 4: Simplify right side
    347,600x = 216,749,838,096
  5. Step 5: Solve for x
    x = 216,749,838,096/347,600
  6. Step 6: Final answer
    x = 623,561.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.