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Finding the Third Proportional to 452,557.69 and 671,004

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Solution

The third proportional to 452,557.69 and 671,004 is: 994,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,557.69 : 671,004 = 671,004 : x
  2. Step 2: Convert to fraction form
    452,557.69/671,004 = 671,004/x
  3. Step 3: Cross multiply
    452,557.69x = 671,004 × 671,004
  4. Step 4: Simplify right side
    452,557.69x = 450,246,368,016
  5. Step 5: Solve for x
    x = 450,246,368,016/452,557.69
  6. Step 6: Final answer
    x = 994,892.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.