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Finding the Third Proportional to 370,161 and 557,977.50

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Solution

The third proportional to 370,161 and 557,977.50 is: 841,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,161 : 557,977.50 = 557,977.50 : x
  2. Step 2: Convert to fraction form
    370,161/557,977.50 = 557,977.50/x
  3. Step 3: Cross multiply
    370,161x = 557,977.50 × 557,977.50
  4. Step 4: Simplify right side
    370,161x = 311,338,890,506.25
  5. Step 5: Solve for x
    x = 311,338,890,506.25/370,161
  6. Step 6: Final answer
    x = 841,090.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.