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Finding the Third Proportional to 525,335.63 and 788,001.75

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Solution

The third proportional to 525,335.63 and 788,001.75 is: 1,182,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,335.63 : 788,001.75 = 788,001.75 : x
  2. Step 2: Convert to fraction form
    525,335.63/788,001.75 = 788,001.75/x
  3. Step 3: Cross multiply
    525,335.63x = 788,001.75 × 788,001.75
  4. Step 4: Simplify right side
    525,335.63x = 620,946,758,003.06
  5. Step 5: Solve for x
    x = 620,946,758,003.06/525,335.63
  6. Step 6: Final answer
    x = 1,182,000.09

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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.