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Finding the Third Proportional to 262,700 and 416,043

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Solution

The third proportional to 262,700 and 416,043 is: 658,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,700 : 416,043 = 416,043 : x
  2. Step 2: Convert to fraction form
    262,700/416,043 = 416,043/x
  3. Step 3: Cross multiply
    262,700x = 416,043 × 416,043
  4. Step 4: Simplify right side
    262,700x = 173,091,777,849
  5. Step 5: Solve for x
    x = 173,091,777,849/262,700
  6. Step 6: Final answer
    x = 658,895.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.