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Finding the Third Proportional to 301,173.50 and 466,341

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Solution

The third proportional to 301,173.50 and 466,341 is: 722,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,173.50 : 466,341 = 466,341 : x
  2. Step 2: Convert to fraction form
    301,173.50/466,341 = 466,341/x
  3. Step 3: Cross multiply
    301,173.50x = 466,341 × 466,341
  4. Step 4: Simplify right side
    301,173.50x = 217,473,928,281
  5. Step 5: Solve for x
    x = 217,473,928,281/301,173.50
  6. Step 6: Final answer
    x = 722,088.52

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