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Finding the Third Proportional to 529,123.50 and 756,355.50

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Solution

The third proportional to 529,123.50 and 756,355.50 is: 1,081,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,123.50 : 756,355.50 = 756,355.50 : x
  2. Step 2: Convert to fraction form
    529,123.50/756,355.50 = 756,355.50/x
  3. Step 3: Cross multiply
    529,123.50x = 756,355.50 × 756,355.50
  4. Step 4: Simplify right side
    529,123.50x = 572,073,642,380.25
  5. Step 5: Solve for x
    x = 572,073,642,380.25/529,123.50
  6. Step 6: Final answer
    x = 1,081,172.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.