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Finding the Third Proportional to 292,429.50 and 428,505

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Solution

The third proportional to 292,429.50 and 428,505 is: 627,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,429.50 : 428,505 = 428,505 : x
  2. Step 2: Convert to fraction form
    292,429.50/428,505 = 428,505/x
  3. Step 3: Cross multiply
    292,429.50x = 428,505 × 428,505
  4. Step 4: Simplify right side
    292,429.50x = 183,616,535,025
  5. Step 5: Solve for x
    x = 183,616,535,025/292,429.50
  6. Step 6: Final answer
    x = 627,900.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.