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Finding the Third Proportional to 540,801 and 848,319

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Solution

The third proportional to 540,801 and 848,319 is: 1,330,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,801 : 848,319 = 848,319 : x
  2. Step 2: Convert to fraction form
    540,801/848,319 = 848,319/x
  3. Step 3: Cross multiply
    540,801x = 848,319 × 848,319
  4. Step 4: Simplify right side
    540,801x = 719,645,125,761
  5. Step 5: Solve for x
    x = 719,645,125,761/540,801
  6. Step 6: Final answer
    x = 1,330,702.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.