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Finding the Third Proportional to 306,698.06 and 465,565.22

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Solution

The third proportional to 306,698.06 and 465,565.22 is: 706,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,698.06 : 465,565.22 = 465,565.22 : x
  2. Step 2: Convert to fraction form
    306,698.06/465,565.22 = 465,565.22/x
  3. Step 3: Cross multiply
    306,698.06x = 465,565.22 × 465,565.22
  4. Step 4: Simplify right side
    306,698.06x = 216,750,972,909.74
  5. Step 5: Solve for x
    x = 216,750,972,909.74/306,698.06
  6. Step 6: Final answer
    x = 706,724.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.