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Finding the Third Proportional to 351,805 and 545,083.50

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Solution

The third proportional to 351,805 and 545,083.50 is: 844,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,805 : 545,083.50 = 545,083.50 : x
  2. Step 2: Convert to fraction form
    351,805/545,083.50 = 545,083.50/x
  3. Step 3: Cross multiply
    351,805x = 545,083.50 × 545,083.50
  4. Step 4: Simplify right side
    351,805x = 297,116,021,972.25
  5. Step 5: Solve for x
    x = 297,116,021,972.25/351,805
  6. Step 6: Final answer
    x = 844,547.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.