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Finding the Third Proportional to 460,926 and 723,057

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Solution

The third proportional to 460,926 and 723,057 is: 1,134,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,926 : 723,057 = 723,057 : x
  2. Step 2: Convert to fraction form
    460,926/723,057 = 723,057/x
  3. Step 3: Cross multiply
    460,926x = 723,057 × 723,057
  4. Step 4: Simplify right side
    460,926x = 522,811,425,249
  5. Step 5: Solve for x
    x = 522,811,425,249/460,926
  6. Step 6: Final answer
    x = 1,134,263.26

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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.