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Finding the Third Proportional to 554,940 and 830,883

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Solution

The third proportional to 554,940 and 830,883 is: 1,244,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,940 : 830,883 = 830,883 : x
  2. Step 2: Convert to fraction form
    554,940/830,883 = 830,883/x
  3. Step 3: Cross multiply
    554,940x = 830,883 × 830,883
  4. Step 4: Simplify right side
    554,940x = 690,366,559,689
  5. Step 5: Solve for x
    x = 690,366,559,689/554,940
  6. Step 6: Final answer
    x = 1,244,038.20

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Why These Related Problems?

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