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Finding the Third Proportional to 301,468 and 466,584

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Solution

The third proportional to 301,468 and 466,584 is: 722,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468 : 466,584 = 466,584 : x
  2. Step 2: Convert to fraction form
    301,468/466,584 = 466,584/x
  3. Step 3: Cross multiply
    301,468x = 466,584 × 466,584
  4. Step 4: Simplify right side
    301,468x = 217,700,629,056
  5. Step 5: Solve for x
    x = 217,700,629,056/301,468
  6. Step 6: Final answer
    x = 722,135.12

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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.