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Finding the Third Proportional to 764,822.25 and 1,124,968.50

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Solution

The third proportional to 764,822.25 and 1,124,968.50 is: 1,654,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,822.25 : 1,124,968.50 = 1,124,968.50 : x
  2. Step 2: Convert to fraction form
    764,822.25/1,124,968.50 = 1,124,968.50/x
  3. Step 3: Cross multiply
    764,822.25x = 1,124,968.50 × 1,124,968.50
  4. Step 4: Simplify right side
    764,822.25x = 1,265,554,125,992.25
  5. Step 5: Solve for x
    x = 1,265,554,125,992.25/764,822.25
  6. Step 6: Final answer
    x = 1,654,703.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.