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Finding the Third Proportional to 453,468.38 and 707,774.63

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Solution

The third proportional to 453,468.38 and 707,774.63 is: 1,104,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,468.38 : 707,774.63 = 707,774.63 : x
  2. Step 2: Convert to fraction form
    453,468.38/707,774.63 = 707,774.63/x
  3. Step 3: Cross multiply
    453,468.38x = 707,774.63 × 707,774.63
  4. Step 4: Simplify right side
    453,468.38x = 500,944,919,793.89
  5. Step 5: Solve for x
    x = 500,944,919,793.89/453,468.38
  6. Step 6: Final answer
    x = 1,104,696.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.