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Finding the Third Proportional to 360,057 and 783,594

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Solution

The third proportional to 360,057 and 783,594 is: 1,705,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,057 : 783,594 = 783,594 : x
  2. Step 2: Convert to fraction form
    360,057/783,594 = 783,594/x
  3. Step 3: Cross multiply
    360,057x = 783,594 × 783,594
  4. Step 4: Simplify right side
    360,057x = 614,019,556,836
  5. Step 5: Solve for x
    x = 614,019,556,836/360,057
  6. Step 6: Final answer
    x = 1,705,339.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.