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Finding the Third Proportional to 525,343 and 788,013

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Solution

The third proportional to 525,343 and 788,013 is: 1,182,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,343 : 788,013 = 788,013 : x
  2. Step 2: Convert to fraction form
    525,343/788,013 = 788,013/x
  3. Step 3: Cross multiply
    525,343x = 788,013 × 788,013
  4. Step 4: Simplify right side
    525,343x = 620,964,488,169
  5. Step 5: Solve for x
    x = 620,964,488,169/525,343
  6. Step 6: Final answer
    x = 1,182,017.25

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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.