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Finding the Third Proportional to 504,562 and 840,905.50

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Solution

The third proportional to 504,562 and 840,905.50 is: 1,401,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,562 : 840,905.50 = 840,905.50 : x
  2. Step 2: Convert to fraction form
    504,562/840,905.50 = 840,905.50/x
  3. Step 3: Cross multiply
    504,562x = 840,905.50 × 840,905.50
  4. Step 4: Simplify right side
    504,562x = 707,122,059,930.25
  5. Step 5: Solve for x
    x = 707,122,059,930.25/504,562
  6. Step 6: Final answer
    x = 1,401,457.22

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.