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Finding the Third Proportional to 292,286 and 628,084.50

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Solution

The third proportional to 292,286 and 628,084.50 is: 1,349,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,286 : 628,084.50 = 628,084.50 : x
  2. Step 2: Convert to fraction form
    292,286/628,084.50 = 628,084.50/x
  3. Step 3: Cross multiply
    292,286x = 628,084.50 × 628,084.50
  4. Step 4: Simplify right side
    292,286x = 394,490,139,140.25
  5. Step 5: Solve for x
    x = 394,490,139,140.25/292,286
  6. Step 6: Final answer
    x = 1,349,671.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.