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Finding the Third Proportional to 350,655 and 764,490

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Solution

The third proportional to 350,655 and 764,490 is: 1,666,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,655 : 764,490 = 764,490 : x
  2. Step 2: Convert to fraction form
    350,655/764,490 = 764,490/x
  3. Step 3: Cross multiply
    350,655x = 764,490 × 764,490
  4. Step 4: Simplify right side
    350,655x = 584,444,960,100
  5. Step 5: Solve for x
    x = 584,444,960,100/350,655
  6. Step 6: Final answer
    x = 1,666,723.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.