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Finding the Third Proportional to 303,664 and 456,472

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Solution

The third proportional to 303,664 and 456,472 is: 686,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,664 : 456,472 = 456,472 : x
  2. Step 2: Convert to fraction form
    303,664/456,472 = 456,472/x
  3. Step 3: Cross multiply
    303,664x = 456,472 × 456,472
  4. Step 4: Simplify right side
    303,664x = 208,366,686,784
  5. Step 5: Solve for x
    x = 208,366,686,784/303,664
  6. Step 6: Final answer
    x = 686,175.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.