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Finding the Third Proportional to 306,698.63 and 465,566.63

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Solution

The third proportional to 306,698.63 and 465,566.63 is: 706,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,698.63 : 465,566.63 = 465,566.63 : x
  2. Step 2: Convert to fraction form
    306,698.63/465,566.63 = 465,566.63/x
  3. Step 3: Cross multiply
    306,698.63x = 465,566.63 × 465,566.63
  4. Step 4: Simplify right side
    306,698.63x = 216,752,282,313.89
  5. Step 5: Solve for x
    x = 216,752,282,313.89/306,698.63
  6. Step 6: Final answer
    x = 706,727.27

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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.