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Finding the Third Proportional to 525,260 and 764,919

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Solution

The third proportional to 525,260 and 764,919 is: 1,113,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,260 : 764,919 = 764,919 : x
  2. Step 2: Convert to fraction form
    525,260/764,919 = 764,919/x
  3. Step 3: Cross multiply
    525,260x = 764,919 × 764,919
  4. Step 4: Simplify right side
    525,260x = 585,101,076,561
  5. Step 5: Solve for x
    x = 585,101,076,561/525,260
  6. Step 6: Final answer
    x = 1,113,926.58

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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.