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Finding the Third Proportional to 413,412.56 and 620,118.94

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Solution

The third proportional to 413,412.56 and 620,118.94 is: 930,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,412.56 : 620,118.94 = 620,118.94 : x
  2. Step 2: Convert to fraction form
    413,412.56/620,118.94 = 620,118.94/x
  3. Step 3: Cross multiply
    413,412.56x = 620,118.94 × 620,118.94
  4. Step 4: Simplify right side
    413,412.56x = 384,547,496,646.13
  5. Step 5: Solve for x
    x = 384,547,496,646.13/413,412.56
  6. Step 6: Final answer
    x = 930,178.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.