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Finding the Third Proportional to 549,605 and 874,276

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Solution

The third proportional to 549,605 and 874,276 is: 1,390,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,605 : 874,276 = 874,276 : x
  2. Step 2: Convert to fraction form
    549,605/874,276 = 874,276/x
  3. Step 3: Cross multiply
    549,605x = 874,276 × 874,276
  4. Step 4: Simplify right side
    549,605x = 764,358,524,176
  5. Step 5: Solve for x
    x = 764,358,524,176/549,605
  6. Step 6: Final answer
    x = 1,390,741.58

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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.