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Finding the Third Proportional to 543,003 and 798,688.50

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Solution

The third proportional to 543,003 and 798,688.50 is: 1,174,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,003 : 798,688.50 = 798,688.50 : x
  2. Step 2: Convert to fraction form
    543,003/798,688.50 = 798,688.50/x
  3. Step 3: Cross multiply
    543,003x = 798,688.50 × 798,688.50
  4. Step 4: Simplify right side
    543,003x = 637,903,320,032.25
  5. Step 5: Solve for x
    x = 637,903,320,032.25/543,003
  6. Step 6: Final answer
    x = 1,174,769.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.