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Finding the Third Proportional to 350,448 and 549,026

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Solution

The third proportional to 350,448 and 549,026 is: 860,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,448 : 549,026 = 549,026 : x
  2. Step 2: Convert to fraction form
    350,448/549,026 = 549,026/x
  3. Step 3: Cross multiply
    350,448x = 549,026 × 549,026
  4. Step 4: Simplify right side
    350,448x = 301,429,548,676
  5. Step 5: Solve for x
    x = 301,429,548,676/350,448
  6. Step 6: Final answer
    x = 860,126.32

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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.