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Finding the Third Proportional to 371,484 and 814,173.75

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Solution

The third proportional to 371,484 and 814,173.75 is: 1,784,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,484 : 814,173.75 = 814,173.75 : x
  2. Step 2: Convert to fraction form
    371,484/814,173.75 = 814,173.75/x
  3. Step 3: Cross multiply
    371,484x = 814,173.75 × 814,173.75
  4. Step 4: Simplify right side
    371,484x = 662,878,895,189.06
  5. Step 5: Solve for x
    x = 662,878,895,189.06/371,484
  6. Step 6: Final answer
    x = 1,784,407.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.