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Finding the Third Proportional to 350,458 and 549,046

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Solution

The third proportional to 350,458 and 549,046 is: 860,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,458 : 549,046 = 549,046 : x
  2. Step 2: Convert to fraction form
    350,458/549,046 = 549,046/x
  3. Step 3: Cross multiply
    350,458x = 549,046 × 549,046
  4. Step 4: Simplify right side
    350,458x = 301,451,510,116
  5. Step 5: Solve for x
    x = 301,451,510,116/350,458
  6. Step 6: Final answer
    x = 860,164.44

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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.