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Finding the Third Proportional to 301,430 and 466,314

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Solution

The third proportional to 301,430 and 466,314 is: 721,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,430 : 466,314 = 466,314 : x
  2. Step 2: Convert to fraction form
    301,430/466,314 = 466,314/x
  3. Step 3: Cross multiply
    301,430x = 466,314 × 466,314
  4. Step 4: Simplify right side
    301,430x = 217,448,746,596
  5. Step 5: Solve for x
    x = 217,448,746,596/301,430
  6. Step 6: Final answer
    x = 721,390.53

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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.