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Finding the Third Proportional to 473,374.13 and 665,835.19

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Solution

The third proportional to 473,374.13 and 665,835.19 is: 936,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,374.13 : 665,835.19 = 665,835.19 : x
  2. Step 2: Convert to fraction form
    473,374.13/665,835.19 = 665,835.19/x
  3. Step 3: Cross multiply
    473,374.13x = 665,835.19 × 665,835.19
  4. Step 4: Simplify right side
    473,374.13x = 443,336,496,913.16
  5. Step 5: Solve for x
    x = 443,336,496,913.16/473,374.13
  6. Step 6: Final answer
    x = 936,545.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.