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Finding the Third Proportional to 350,070 and 524,996

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Solution

The third proportional to 350,070 and 524,996 is: 787,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,070 : 524,996 = 524,996 : x
  2. Step 2: Convert to fraction form
    350,070/524,996 = 524,996/x
  3. Step 3: Cross multiply
    350,070x = 524,996 × 524,996
  4. Step 4: Simplify right side
    350,070x = 275,620,800,016
  5. Step 5: Solve for x
    x = 275,620,800,016/350,070
  6. Step 6: Final answer
    x = 787,330.53

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