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Finding the Third Proportional to 745,464 and 993,196

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Solution

The third proportional to 745,464 and 993,196 is: 1,323,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,464 : 993,196 = 993,196 : x
  2. Step 2: Convert to fraction form
    745,464/993,196 = 993,196/x
  3. Step 3: Cross multiply
    745,464x = 993,196 × 993,196
  4. Step 4: Simplify right side
    745,464x = 986,438,294,416
  5. Step 5: Solve for x
    x = 986,438,294,416/745,464
  6. Step 6: Final answer
    x = 1,323,254.10

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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.