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Finding the Third Proportional to 350,693 and 512,914

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Solution

The third proportional to 350,693 and 512,914 is: 750,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,693 : 512,914 = 512,914 : x
  2. Step 2: Convert to fraction form
    350,693/512,914 = 512,914/x
  3. Step 3: Cross multiply
    350,693x = 512,914 × 512,914
  4. Step 4: Simplify right side
    350,693x = 263,080,771,396
  5. Step 5: Solve for x
    x = 263,080,771,396/350,693
  6. Step 6: Final answer
    x = 750,174.00

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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.