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Finding the Third Proportional to 460,026 and 718,010

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Solution

The third proportional to 460,026 and 718,010 is: 1,120,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,026 : 718,010 = 718,010 : x
  2. Step 2: Convert to fraction form
    460,026/718,010 = 718,010/x
  3. Step 3: Cross multiply
    460,026x = 718,010 × 718,010
  4. Step 4: Simplify right side
    460,026x = 515,538,360,100
  5. Step 5: Solve for x
    x = 515,538,360,100/460,026
  6. Step 6: Final answer
    x = 1,120,672.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.