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Finding the Third Proportional to 403,766 and 626,967

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Solution

The third proportional to 403,766 and 626,967 is: 973,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,766 : 626,967 = 626,967 : x
  2. Step 2: Convert to fraction form
    403,766/626,967 = 626,967/x
  3. Step 3: Cross multiply
    403,766x = 626,967 × 626,967
  4. Step 4: Simplify right side
    403,766x = 393,087,619,089
  5. Step 5: Solve for x
    x = 393,087,619,089/403,766
  6. Step 6: Final answer
    x = 973,553.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.