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Finding the Third Proportional to 357,544.13 and 569,121.19

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Solution

The third proportional to 357,544.13 and 569,121.19 is: 905,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,544.13 : 569,121.19 = 569,121.19 : x
  2. Step 2: Convert to fraction form
    357,544.13/569,121.19 = 569,121.19/x
  3. Step 3: Cross multiply
    357,544.13x = 569,121.19 × 569,121.19
  4. Step 4: Simplify right side
    357,544.13x = 323,898,926,061.41
  5. Step 5: Solve for x
    x = 323,898,926,061.41/357,544.13
  6. Step 6: Final answer
    x = 905,899.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.