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Finding the Third Proportional to 460,488 and 661,086

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Solution

The third proportional to 460,488 and 661,086 is: 949,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,488 : 661,086 = 661,086 : x
  2. Step 2: Convert to fraction form
    460,488/661,086 = 661,086/x
  3. Step 3: Cross multiply
    460,488x = 661,086 × 661,086
  4. Step 4: Simplify right side
    460,488x = 437,034,699,396
  5. Step 5: Solve for x
    x = 437,034,699,396/460,488
  6. Step 6: Final answer
    x = 949,068.60

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.