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Finding the Third Proportional to 309,625.03 and 473,670.28

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Solution

The third proportional to 309,625.03 and 473,670.28 is: 724,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,625.03 : 473,670.28 = 473,670.28 : x
  2. Step 2: Convert to fraction form
    309,625.03/473,670.28 = 473,670.28/x
  3. Step 3: Cross multiply
    309,625.03x = 473,670.28 × 473,670.28
  4. Step 4: Simplify right side
    309,625.03x = 224,363,535,339.45
  5. Step 5: Solve for x
    x = 224,363,535,339.45/309,625.03
  6. Step 6: Final answer
    x = 724,629.84

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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.