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Finding the Third Proportional to 347,599.13 and 465,562.69

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Solution

The third proportional to 347,599.13 and 465,562.69 is: 623,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,599.13 : 465,562.69 = 465,562.69 : x
  2. Step 2: Convert to fraction form
    347,599.13/465,562.69 = 465,562.69/x
  3. Step 3: Cross multiply
    347,599.13x = 465,562.69 × 465,562.69
  4. Step 4: Simplify right side
    347,599.13x = 216,748,615,992.22
  5. Step 5: Solve for x
    x = 216,748,615,992.22/347,599.13
  6. Step 6: Final answer
    x = 623,559.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.