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Finding the Third Proportional to 337,570 and 508,515

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Solution

The third proportional to 337,570 and 508,515 is: 766,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,570 : 508,515 = 508,515 : x
  2. Step 2: Convert to fraction form
    337,570/508,515 = 508,515/x
  3. Step 3: Cross multiply
    337,570x = 508,515 × 508,515
  4. Step 4: Simplify right side
    337,570x = 258,587,505,225
  5. Step 5: Solve for x
    x = 258,587,505,225/337,570
  6. Step 6: Final answer
    x = 766,026.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.