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Finding the Third Proportional to 301,352 and 466,912

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Solution

The third proportional to 301,352 and 466,912 is: 723,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,352 : 466,912 = 466,912 : x
  2. Step 2: Convert to fraction form
    301,352/466,912 = 466,912/x
  3. Step 3: Cross multiply
    301,352x = 466,912 × 466,912
  4. Step 4: Simplify right side
    301,352x = 218,006,815,744
  5. Step 5: Solve for x
    x = 218,006,815,744/301,352
  6. Step 6: Final answer
    x = 723,429.13

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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.