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Finding the Third Proportional to 262,612 and 382,437

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Solution

The third proportional to 262,612 and 382,437 is: 556,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,612 : 382,437 = 382,437 : x
  2. Step 2: Convert to fraction form
    262,612/382,437 = 382,437/x
  3. Step 3: Cross multiply
    262,612x = 382,437 × 382,437
  4. Step 4: Simplify right side
    262,612x = 146,258,058,969
  5. Step 5: Solve for x
    x = 146,258,058,969/262,612
  6. Step 6: Final answer
    x = 556,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.