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Finding the Third Proportional to 337,207 and 508,038

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Solution

The third proportional to 337,207 and 508,038 is: 765,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,207 : 508,038 = 508,038 : x
  2. Step 2: Convert to fraction form
    337,207/508,038 = 508,038/x
  3. Step 3: Cross multiply
    337,207x = 508,038 × 508,038
  4. Step 4: Simplify right side
    337,207x = 258,102,609,444
  5. Step 5: Solve for x
    x = 258,102,609,444/337,207
  6. Step 6: Final answer
    x = 765,412.96

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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.