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Finding the Third Proportional to 388,088 and 848,323

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Solution

The third proportional to 388,088 and 848,323 is: 1,854,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,088 : 848,323 = 848,323 : x
  2. Step 2: Convert to fraction form
    388,088/848,323 = 848,323/x
  3. Step 3: Cross multiply
    388,088x = 848,323 × 848,323
  4. Step 4: Simplify right side
    388,088x = 719,651,912,329
  5. Step 5: Solve for x
    x = 719,651,912,329/388,088
  6. Step 6: Final answer
    x = 1,854,352.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.