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Finding the Third Proportional to 300,532 and 465,106

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Solution

The third proportional to 300,532 and 465,106 is: 719,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,532 : 465,106 = 465,106 : x
  2. Step 2: Convert to fraction form
    300,532/465,106 = 465,106/x
  3. Step 3: Cross multiply
    300,532x = 465,106 × 465,106
  4. Step 4: Simplify right side
    300,532x = 216,323,591,236
  5. Step 5: Solve for x
    x = 216,323,591,236/300,532
  6. Step 6: Final answer
    x = 719,802.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.