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Finding the Third Proportional to 350,446 and 549,024

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Solution

The third proportional to 350,446 and 549,024 is: 860,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,446 : 549,024 = 549,024 : x
  2. Step 2: Convert to fraction form
    350,446/549,024 = 549,024/x
  3. Step 3: Cross multiply
    350,446x = 549,024 × 549,024
  4. Step 4: Simplify right side
    350,446x = 301,427,352,576
  5. Step 5: Solve for x
    x = 301,427,352,576/350,446
  6. Step 6: Final answer
    x = 860,124.96

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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.