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Finding the Third Proportional to 350,854 and 513,158

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Solution

The third proportional to 350,854 and 513,158 is: 750,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,854 : 513,158 = 513,158 : x
  2. Step 2: Convert to fraction form
    350,854/513,158 = 513,158/x
  3. Step 3: Cross multiply
    350,854x = 513,158 × 513,158
  4. Step 4: Simplify right side
    350,854x = 263,331,132,964
  5. Step 5: Solve for x
    x = 263,331,132,964/350,854
  6. Step 6: Final answer
    x = 750,543.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.