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Finding the Third Proportional to 350,457 and 549,039

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Solution

The third proportional to 350,457 and 549,039 is: 860,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,457 : 549,039 = 549,039 : x
  2. Step 2: Convert to fraction form
    350,457/549,039 = 549,039/x
  3. Step 3: Cross multiply
    350,457x = 549,039 × 549,039
  4. Step 4: Simplify right side
    350,457x = 301,443,823,521
  5. Step 5: Solve for x
    x = 301,443,823,521/350,457
  6. Step 6: Final answer
    x = 860,144.96

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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.