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Finding the Third Proportional to 309,733.50 and 473,486.25

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Solution

The third proportional to 309,733.50 and 473,486.25 is: 723,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,733.50 : 473,486.25 = 473,486.25 : x
  2. Step 2: Convert to fraction form
    309,733.50/473,486.25 = 473,486.25/x
  3. Step 3: Cross multiply
    309,733.50x = 473,486.25 × 473,486.25
  4. Step 4: Simplify right side
    309,733.50x = 224,189,228,939.06
  5. Step 5: Solve for x
    x = 224,189,228,939.06/309,733.50
  6. Step 6: Final answer
    x = 723,813.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.