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Finding the Third Proportional to 529,042.50 and 819,441

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Solution

The third proportional to 529,042.50 and 819,441 is: 1,269,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,042.50 : 819,441 = 819,441 : x
  2. Step 2: Convert to fraction form
    529,042.50/819,441 = 819,441/x
  3. Step 3: Cross multiply
    529,042.50x = 819,441 × 819,441
  4. Step 4: Simplify right side
    529,042.50x = 671,483,552,481
  5. Step 5: Solve for x
    x = 671,483,552,481/529,042.50
  6. Step 6: Final answer
    x = 1,269,243.12

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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.