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Finding the Third Proportional to 329,072 and 497,658

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Solution

The third proportional to 329,072 and 497,658 is: 752,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,072 : 497,658 = 497,658 : x
  2. Step 2: Convert to fraction form
    329,072/497,658 = 497,658/x
  3. Step 3: Cross multiply
    329,072x = 497,658 × 497,658
  4. Step 4: Simplify right side
    329,072x = 247,663,484,964
  5. Step 5: Solve for x
    x = 247,663,484,964/329,072
  6. Step 6: Final answer
    x = 752,611.84

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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.