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Finding the Third Proportional to 605,685.94 and 938,307.80

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Solution

The third proportional to 605,685.94 and 938,307.80 is: 1,453,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,685.94 : 938,307.80 = 938,307.80 : x
  2. Step 2: Convert to fraction form
    605,685.94/938,307.80 = 938,307.80/x
  3. Step 3: Cross multiply
    605,685.94x = 938,307.80 × 938,307.80
  4. Step 4: Simplify right side
    605,685.94x = 880,421,521,676.42
  5. Step 5: Solve for x
    x = 880,421,521,676.42/605,685.94
  6. Step 6: Final answer
    x = 1,453,594.13

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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.