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Finding the Third Proportional to 525,266 and 764,928

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Solution

The third proportional to 525,266 and 764,928 is: 1,113,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,266 : 764,928 = 764,928 : x
  2. Step 2: Convert to fraction form
    525,266/764,928 = 764,928/x
  3. Step 3: Cross multiply
    525,266x = 764,928 × 764,928
  4. Step 4: Simplify right side
    525,266x = 585,114,845,184
  5. Step 5: Solve for x
    x = 585,114,845,184/525,266
  6. Step 6: Final answer
    x = 1,113,940.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.