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Finding the Third Proportional to 473,036 and 691,948

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Solution

The third proportional to 473,036 and 691,948 is: 1,012,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,036 : 691,948 = 691,948 : x
  2. Step 2: Convert to fraction form
    473,036/691,948 = 691,948/x
  3. Step 3: Cross multiply
    473,036x = 691,948 × 691,948
  4. Step 4: Simplify right side
    473,036x = 478,792,034,704
  5. Step 5: Solve for x
    x = 478,792,034,704/473,036
  6. Step 6: Final answer
    x = 1,012,168.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.