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Finding the Third Proportional to 549,609 and 874,282

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Solution

The third proportional to 549,609 and 874,282 is: 1,390,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,609 : 874,282 = 874,282 : x
  2. Step 2: Convert to fraction form
    549,609/874,282 = 874,282/x
  3. Step 3: Cross multiply
    549,609x = 874,282 × 874,282
  4. Step 4: Simplify right side
    549,609x = 764,369,015,524
  5. Step 5: Solve for x
    x = 764,369,015,524/549,609
  6. Step 6: Final answer
    x = 1,390,750.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.