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Finding the Third Proportional to 356,829 and 521,845.50

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Solution

The third proportional to 356,829 and 521,845.50 is: 763,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,829 : 521,845.50 = 521,845.50 : x
  2. Step 2: Convert to fraction form
    356,829/521,845.50 = 521,845.50/x
  3. Step 3: Cross multiply
    356,829x = 521,845.50 × 521,845.50
  4. Step 4: Simplify right side
    356,829x = 272,322,725,870.25
  5. Step 5: Solve for x
    x = 272,322,725,870.25/356,829
  6. Step 6: Final answer
    x = 763,174.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.