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Finding the Third Proportional to 368,779 and 569,549

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Solution

The third proportional to 368,779 and 569,549 is: 879,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,779 : 569,549 = 569,549 : x
  2. Step 2: Convert to fraction form
    368,779/569,549 = 569,549/x
  3. Step 3: Cross multiply
    368,779x = 569,549 × 569,549
  4. Step 4: Simplify right side
    368,779x = 324,386,063,401
  5. Step 5: Solve for x
    x = 324,386,063,401/368,779
  6. Step 6: Final answer
    x = 879,621.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.