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Finding the Third Proportional to 525,337.88 and 788,007.38

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Solution

The third proportional to 525,337.88 and 788,007.38 is: 1,182,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,337.88 : 788,007.38 = 788,007.38 : x
  2. Step 2: Convert to fraction form
    525,337.88/788,007.38 = 788,007.38/x
  3. Step 3: Cross multiply
    525,337.88x = 788,007.38 × 788,007.38
  4. Step 4: Simplify right side
    525,337.88x = 620,955,623,054.39
  5. Step 5: Solve for x
    x = 620,955,623,054.39/525,337.88
  6. Step 6: Final answer
    x = 1,182,011.91

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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.