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Finding the Third Proportional to 362,242.76 and 786,763.76

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Solution

The third proportional to 362,242.76 and 786,763.76 is: 1,708,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,242.76 : 786,763.76 = 786,763.76 : x
  2. Step 2: Convert to fraction form
    362,242.76/786,763.76 = 786,763.76/x
  3. Step 3: Cross multiply
    362,242.76x = 786,763.76 × 786,763.76
  4. Step 4: Simplify right side
    362,242.76x = 618,997,210,607.25
  5. Step 5: Solve for x
    x = 618,997,210,607.25/362,242.76
  6. Step 6: Final answer
    x = 1,708,791.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.