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Finding the Third Proportional to 350,352 and 762,213

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Solution

The third proportional to 350,352 and 762,213 is: 1,658,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,352 : 762,213 = 762,213 : x
  2. Step 2: Convert to fraction form
    350,352/762,213 = 762,213/x
  3. Step 3: Cross multiply
    350,352x = 762,213 × 762,213
  4. Step 4: Simplify right side
    350,352x = 580,968,657,369
  5. Step 5: Solve for x
    x = 580,968,657,369/350,352
  6. Step 6: Final answer
    x = 1,658,242.73

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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.