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Finding the Third Proportional to 360,566.44 and 778,253.06

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Solution

The third proportional to 360,566.44 and 778,253.06 is: 1,679,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,566.44 : 778,253.06 = 778,253.06 : x
  2. Step 2: Convert to fraction form
    360,566.44/778,253.06 = 778,253.06/x
  3. Step 3: Cross multiply
    360,566.44x = 778,253.06 × 778,253.06
  4. Step 4: Simplify right side
    360,566.44x = 605,677,829,290.63
  5. Step 5: Solve for x
    x = 605,677,829,290.63/360,566.44
  6. Step 6: Final answer
    x = 1,679,795.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.