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Finding the Third Proportional to 461,848.50 and 690,930

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Solution

The third proportional to 461,848.50 and 690,930 is: 1,033,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,848.50 : 690,930 = 690,930 : x
  2. Step 2: Convert to fraction form
    461,848.50/690,930 = 690,930/x
  3. Step 3: Cross multiply
    461,848.50x = 690,930 × 690,930
  4. Step 4: Simplify right side
    461,848.50x = 477,384,264,900
  5. Step 5: Solve for x
    x = 477,384,264,900/461,848.50
  6. Step 6: Final answer
    x = 1,033,638.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.