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Finding the Third Proportional to 525,345.75 and 788,027.06

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Solution

The third proportional to 525,345.75 and 788,027.06 is: 1,182,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,345.75 : 788,027.06 = 788,027.06 : x
  2. Step 2: Convert to fraction form
    525,345.75/788,027.06 = 788,027.06/x
  3. Step 3: Cross multiply
    525,345.75x = 788,027.06 × 788,027.06
  4. Step 4: Simplify right side
    525,345.75x = 620,986,651,232.38
  5. Step 5: Solve for x
    x = 620,986,651,232.38/525,345.75
  6. Step 6: Final answer
    x = 1,182,053.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.