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Finding the Third Proportional to 460,090.13 and 631,701.28

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Solution

The third proportional to 460,090.13 and 631,701.28 is: 867,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,090.13 : 631,701.28 = 631,701.28 : x
  2. Step 2: Convert to fraction form
    460,090.13/631,701.28 = 631,701.28/x
  3. Step 3: Cross multiply
    460,090.13x = 631,701.28 × 631,701.28
  4. Step 4: Simplify right side
    460,090.13x = 399,046,508,732.89
  5. Step 5: Solve for x
    x = 399,046,508,732.89/460,090.13
  6. Step 6: Final answer
    x = 867,322.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.