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Finding the Third Proportional to 525,212 and 764,854

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Solution

The third proportional to 525,212 and 764,854 is: 1,113,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,212 : 764,854 = 764,854 : x
  2. Step 2: Convert to fraction form
    525,212/764,854 = 764,854/x
  3. Step 3: Cross multiply
    525,212x = 764,854 × 764,854
  4. Step 4: Simplify right side
    525,212x = 585,001,641,316
  5. Step 5: Solve for x
    x = 585,001,641,316/525,212
  6. Step 6: Final answer
    x = 1,113,839.06

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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.