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Finding the Third Proportional to 350,190 and 791,316

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Solution

The third proportional to 350,190 and 791,316 is: 1,788,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,190 : 791,316 = 791,316 : x
  2. Step 2: Convert to fraction form
    350,190/791,316 = 791,316/x
  3. Step 3: Cross multiply
    350,190x = 791,316 × 791,316
  4. Step 4: Simplify right side
    350,190x = 626,181,011,856
  5. Step 5: Solve for x
    x = 626,181,011,856/350,190
  6. Step 6: Final answer
    x = 1,788,117.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.