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Finding the Third Proportional to 304,295 and 473,664

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Solution

The third proportional to 304,295 and 473,664 is: 737,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,295 : 473,664 = 473,664 : x
  2. Step 2: Convert to fraction form
    304,295/473,664 = 473,664/x
  3. Step 3: Cross multiply
    304,295x = 473,664 × 473,664
  4. Step 4: Simplify right side
    304,295x = 224,357,584,896
  5. Step 5: Solve for x
    x = 224,357,584,896/304,295
  6. Step 6: Final answer
    x = 737,302.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.