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Finding the Third Proportional to 460,026 and 704,860

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Solution

The third proportional to 460,026 and 704,860 is: 1,079,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,026 : 704,860 = 704,860 : x
  2. Step 2: Convert to fraction form
    460,026/704,860 = 704,860/x
  3. Step 3: Cross multiply
    460,026x = 704,860 × 704,860
  4. Step 4: Simplify right side
    460,026x = 496,827,619,600
  5. Step 5: Solve for x
    x = 496,827,619,600/460,026
  6. Step 6: Final answer
    x = 1,079,999.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.