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Finding the Third Proportional to 403,776 and 626,966

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Solution

The third proportional to 403,776 and 626,966 is: 973,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,776 : 626,966 = 626,966 : x
  2. Step 2: Convert to fraction form
    403,776/626,966 = 626,966/x
  3. Step 3: Cross multiply
    403,776x = 626,966 × 626,966
  4. Step 4: Simplify right side
    403,776x = 393,086,365,156
  5. Step 5: Solve for x
    x = 393,086,365,156/403,776
  6. Step 6: Final answer
    x = 973,525.83

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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.