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Finding the Third Proportional to 350,442 and 549,117

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Solution

The third proportional to 350,442 and 549,117 is: 860,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,442 : 549,117 = 549,117 : x
  2. Step 2: Convert to fraction form
    350,442/549,117 = 549,117/x
  3. Step 3: Cross multiply
    350,442x = 549,117 × 549,117
  4. Step 4: Simplify right side
    350,442x = 301,529,479,689
  5. Step 5: Solve for x
    x = 301,529,479,689/350,442
  6. Step 6: Final answer
    x = 860,426.20

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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.