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Finding the Third Proportional to 350,486 and 549,087

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Solution

The third proportional to 350,486 and 549,087 is: 860,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,486 : 549,087 = 549,087 : x
  2. Step 2: Convert to fraction form
    350,486/549,087 = 549,087/x
  3. Step 3: Cross multiply
    350,486x = 549,087 × 549,087
  4. Step 4: Simplify right side
    350,486x = 301,496,533,569
  5. Step 5: Solve for x
    x = 301,496,533,569/350,486
  6. Step 6: Final answer
    x = 860,224.18

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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.