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Finding the Third Proportional to 307,064 and 473,720

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Solution

The third proportional to 307,064 and 473,720 is: 730,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,064 : 473,720 = 473,720 : x
  2. Step 2: Convert to fraction form
    307,064/473,720 = 473,720/x
  3. Step 3: Cross multiply
    307,064x = 473,720 × 473,720
  4. Step 4: Simplify right side
    307,064x = 224,410,638,400
  5. Step 5: Solve for x
    x = 224,410,638,400/307,064
  6. Step 6: Final answer
    x = 730,826.92

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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.