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Finding the Third Proportional to 304,302 and 473,673.50

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Solution

The third proportional to 304,302 and 473,673.50 is: 737,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,302 : 473,673.50 = 473,673.50 : x
  2. Step 2: Convert to fraction form
    304,302/473,673.50 = 473,673.50/x
  3. Step 3: Cross multiply
    304,302x = 473,673.50 × 473,673.50
  4. Step 4: Simplify right side
    304,302x = 224,366,584,602.25
  5. Step 5: Solve for x
    x = 224,366,584,602.25/304,302
  6. Step 6: Final answer
    x = 737,315.51

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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.