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Finding the Third Proportional to 350,451 and 549,030

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Solution

The third proportional to 350,451 and 549,030 is: 860,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,451 : 549,030 = 549,030 : x
  2. Step 2: Convert to fraction form
    350,451/549,030 = 549,030/x
  3. Step 3: Cross multiply
    350,451x = 549,030 × 549,030
  4. Step 4: Simplify right side
    350,451x = 301,433,940,900
  5. Step 5: Solve for x
    x = 301,433,940,900/350,451
  6. Step 6: Final answer
    x = 860,131.49

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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.