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Finding the Third Proportional to 460,742.06 and 721,193.06

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Solution

The third proportional to 460,742.06 and 721,193.06 is: 1,128,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,742.06 : 721,193.06 = 721,193.06 : x
  2. Step 2: Convert to fraction form
    460,742.06/721,193.06 = 721,193.06/x
  3. Step 3: Cross multiply
    460,742.06x = 721,193.06 × 721,193.06
  4. Step 4: Simplify right side
    460,742.06x = 520,119,433,398.13
  5. Step 5: Solve for x
    x = 520,119,433,398.13/460,742.06
  6. Step 6: Final answer
    x = 1,128,873.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.