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Finding the Third Proportional to 329,250 and 498,465

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Solution

The third proportional to 329,250 and 498,465 is: 754,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,250 : 498,465 = 498,465 : x
  2. Step 2: Convert to fraction form
    329,250/498,465 = 498,465/x
  3. Step 3: Cross multiply
    329,250x = 498,465 × 498,465
  4. Step 4: Simplify right side
    329,250x = 248,467,356,225
  5. Step 5: Solve for x
    x = 248,467,356,225/329,250
  6. Step 6: Final answer
    x = 754,646.49

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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.