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Finding the Third Proportional to 296,682 and 471,702

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Solution

The third proportional to 296,682 and 471,702 is: 749,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,682 : 471,702 = 471,702 : x
  2. Step 2: Convert to fraction form
    296,682/471,702 = 471,702/x
  3. Step 3: Cross multiply
    296,682x = 471,702 × 471,702
  4. Step 4: Simplify right side
    296,682x = 222,502,776,804
  5. Step 5: Solve for x
    x = 222,502,776,804/296,682
  6. Step 6: Final answer
    x = 749,970.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.