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Finding the Third Proportional to 550,381.50 and 841,986

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Solution

The third proportional to 550,381.50 and 841,986 is: 1,288,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,381.50 : 841,986 = 841,986 : x
  2. Step 2: Convert to fraction form
    550,381.50/841,986 = 841,986/x
  3. Step 3: Cross multiply
    550,381.50x = 841,986 × 841,986
  4. Step 4: Simplify right side
    550,381.50x = 708,940,424,196
  5. Step 5: Solve for x
    x = 708,940,424,196/550,381.50
  6. Step 6: Final answer
    x = 1,288,089.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.