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Finding the Third Proportional to 292,425.75 and 428,499.94

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Solution

The third proportional to 292,425.75 and 428,499.94 is: 627,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,425.75 : 428,499.94 = 428,499.94 : x
  2. Step 2: Convert to fraction form
    292,425.75/428,499.94 = 428,499.94/x
  3. Step 3: Cross multiply
    292,425.75x = 428,499.94 × 428,499.94
  4. Step 4: Simplify right side
    292,425.75x = 183,612,196,437.50
  5. Step 5: Solve for x
    x = 183,612,196,437.50/292,425.75
  6. Step 6: Final answer
    x = 627,893.39

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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.