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Finding the Third Proportional to 350,952 and 718,503

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Solution

The third proportional to 350,952 and 718,503 is: 1,470,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,952 : 718,503 = 718,503 : x
  2. Step 2: Convert to fraction form
    350,952/718,503 = 718,503/x
  3. Step 3: Cross multiply
    350,952x = 718,503 × 718,503
  4. Step 4: Simplify right side
    350,952x = 516,246,561,009
  5. Step 5: Solve for x
    x = 516,246,561,009/350,952
  6. Step 6: Final answer
    x = 1,470,989.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.