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Finding the Third Proportional to 307,023.75 and 473,657.63

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Solution

The third proportional to 307,023.75 and 473,657.63 is: 730,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,023.75 : 473,657.63 = 473,657.63 : x
  2. Step 2: Convert to fraction form
    307,023.75/473,657.63 = 473,657.63/x
  3. Step 3: Cross multiply
    307,023.75x = 473,657.63 × 473,657.63
  4. Step 4: Simplify right side
    307,023.75x = 224,351,545,720.64
  5. Step 5: Solve for x
    x = 224,351,545,720.64/307,023.75
  6. Step 6: Final answer
    x = 730,730.26

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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.