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Finding the Third Proportional to 415,756.13 and 579,252.94

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Solution

The third proportional to 415,756.13 and 579,252.94 is: 807,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,756.13 : 579,252.94 = 579,252.94 : x
  2. Step 2: Convert to fraction form
    415,756.13/579,252.94 = 579,252.94/x
  3. Step 3: Cross multiply
    415,756.13x = 579,252.94 × 579,252.94
  4. Step 4: Simplify right side
    415,756.13x = 335,533,965,602.38
  5. Step 5: Solve for x
    x = 335,533,965,602.38/415,756.13
  6. Step 6: Final answer
    x = 807,045.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.