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Finding the Third Proportional to 356,881.50 and 525,462.50

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Solution

The third proportional to 356,881.50 and 525,462.50 is: 773,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,881.50 : 525,462.50 = 525,462.50 : x
  2. Step 2: Convert to fraction form
    356,881.50/525,462.50 = 525,462.50/x
  3. Step 3: Cross multiply
    356,881.50x = 525,462.50 × 525,462.50
  4. Step 4: Simplify right side
    356,881.50x = 276,110,838,906.25
  5. Step 5: Solve for x
    x = 276,110,838,906.25/356,881.50
  6. Step 6: Final answer
    x = 773,676.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.