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Finding the Third Proportional to 350,484 and 762,476

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Solution

The third proportional to 350,484 and 762,476 is: 1,658,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,484 : 762,476 = 762,476 : x
  2. Step 2: Convert to fraction form
    350,484/762,476 = 762,476/x
  3. Step 3: Cross multiply
    350,484x = 762,476 × 762,476
  4. Step 4: Simplify right side
    350,484x = 581,369,650,576
  5. Step 5: Solve for x
    x = 581,369,650,576/350,484
  6. Step 6: Final answer
    x = 1,658,762.31

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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.