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Finding the Third Proportional to 535,222.69 and 788,049

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Solution

The third proportional to 535,222.69 and 788,049 is: 1,160,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,222.69 : 788,049 = 788,049 : x
  2. Step 2: Convert to fraction form
    535,222.69/788,049 = 788,049/x
  3. Step 3: Cross multiply
    535,222.69x = 788,049 × 788,049
  4. Step 4: Simplify right side
    535,222.69x = 621,021,226,401
  5. Step 5: Solve for x
    x = 621,021,226,401/535,222.69
  6. Step 6: Final answer
    x = 1,160,304.38

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