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Finding the Third Proportional to 620,434.69 and 934,345.13

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Solution

The third proportional to 620,434.69 and 934,345.13 is: 1,407,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,434.69 : 934,345.13 = 934,345.13 : x
  2. Step 2: Convert to fraction form
    620,434.69/934,345.13 = 934,345.13/x
  3. Step 3: Cross multiply
    620,434.69x = 934,345.13 × 934,345.13
  4. Step 4: Simplify right side
    620,434.69x = 873,000,812,611.27
  5. Step 5: Solve for x
    x = 873,000,812,611.27/620,434.69
  6. Step 6: Final answer
    x = 1,407,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.