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Finding the Third Proportional to 303,529.50 and 665,076

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Solution

The third proportional to 303,529.50 and 665,076 is: 1,457,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,529.50 : 665,076 = 665,076 : x
  2. Step 2: Convert to fraction form
    303,529.50/665,076 = 665,076/x
  3. Step 3: Cross multiply
    303,529.50x = 665,076 × 665,076
  4. Step 4: Simplify right side
    303,529.50x = 442,326,085,776
  5. Step 5: Solve for x
    x = 442,326,085,776/303,529.50
  6. Step 6: Final answer
    x = 1,457,275.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.