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Finding the Third Proportional to 356,878.50 and 525,458.25

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Solution

The third proportional to 356,878.50 and 525,458.25 is: 773,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,878.50 : 525,458.25 = 525,458.25 : x
  2. Step 2: Convert to fraction form
    356,878.50/525,458.25 = 525,458.25/x
  3. Step 3: Cross multiply
    356,878.50x = 525,458.25 × 525,458.25
  4. Step 4: Simplify right side
    356,878.50x = 276,106,372,493.06
  5. Step 5: Solve for x
    x = 276,106,372,493.06/356,878.50
  6. Step 6: Final answer
    x = 773,670.51

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Why These Related Problems?

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