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Finding the Third Proportional to 525,449 and 832,157

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Solution

The third proportional to 525,449 and 832,157 is: 1,317,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,449 : 832,157 = 832,157 : x
  2. Step 2: Convert to fraction form
    525,449/832,157 = 832,157/x
  3. Step 3: Cross multiply
    525,449x = 832,157 × 832,157
  4. Step 4: Simplify right side
    525,449x = 692,485,272,649
  5. Step 5: Solve for x
    x = 692,485,272,649/525,449
  6. Step 6: Final answer
    x = 1,317,892.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.