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Finding the Third Proportional to 348,050 and 737,284

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Solution

The third proportional to 348,050 and 737,284 is: 1,561,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,050 : 737,284 = 737,284 : x
  2. Step 2: Convert to fraction form
    348,050/737,284 = 737,284/x
  3. Step 3: Cross multiply
    348,050x = 737,284 × 737,284
  4. Step 4: Simplify right side
    348,050x = 543,587,696,656
  5. Step 5: Solve for x
    x = 543,587,696,656/348,050
  6. Step 6: Final answer
    x = 1,561,809.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.