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Finding the Third Proportional to 505,082 and 841,699

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Solution

The third proportional to 505,082 and 841,699 is: 1,402,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,082 : 841,699 = 841,699 : x
  2. Step 2: Convert to fraction form
    505,082/841,699 = 841,699/x
  3. Step 3: Cross multiply
    505,082x = 841,699 × 841,699
  4. Step 4: Simplify right side
    505,082x = 708,457,206,601
  5. Step 5: Solve for x
    x = 708,457,206,601/505,082
  6. Step 6: Final answer
    x = 1,402,657.80

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Why These Related Problems?

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