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Finding the Third Proportional to 262,062 and 370,869.75

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Solution

The third proportional to 262,062 and 370,869.75 is: 524,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,062 : 370,869.75 = 370,869.75 : x
  2. Step 2: Convert to fraction form
    262,062/370,869.75 = 370,869.75/x
  3. Step 3: Cross multiply
    262,062x = 370,869.75 × 370,869.75
  4. Step 4: Simplify right side
    262,062x = 137,544,371,465.06
  5. Step 5: Solve for x
    x = 137,544,371,465.06/262,062
  6. Step 6: Final answer
    x = 524,854.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.