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Finding the Third Proportional to 745,440 and 993,165

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Solution

The third proportional to 745,440 and 993,165 is: 1,323,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,440 : 993,165 = 993,165 : x
  2. Step 2: Convert to fraction form
    745,440/993,165 = 993,165/x
  3. Step 3: Cross multiply
    745,440x = 993,165 × 993,165
  4. Step 4: Simplify right side
    745,440x = 986,376,717,225
  5. Step 5: Solve for x
    x = 986,376,717,225/745,440
  6. Step 6: Final answer
    x = 1,323,214.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.