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Finding the Third Proportional to 307,021.50 and 473,652

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Solution

The third proportional to 307,021.50 and 473,652 is: 730,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,021.50 : 473,652 = 473,652 : x
  2. Step 2: Convert to fraction form
    307,021.50/473,652 = 473,652/x
  3. Step 3: Cross multiply
    307,021.50x = 473,652 × 473,652
  4. Step 4: Simplify right side
    307,021.50x = 224,346,217,104
  5. Step 5: Solve for x
    x = 224,346,217,104/307,021.50
  6. Step 6: Final answer
    x = 730,718.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.