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Finding the Third Proportional to 251,406 and 549,811.50

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Solution

The third proportional to 251,406 and 549,811.50 is: 1,202,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,406 : 549,811.50 = 549,811.50 : x
  2. Step 2: Convert to fraction form
    251,406/549,811.50 = 549,811.50/x
  3. Step 3: Cross multiply
    251,406x = 549,811.50 × 549,811.50
  4. Step 4: Simplify right side
    251,406x = 302,292,685,532.25
  5. Step 5: Solve for x
    x = 302,292,685,532.25/251,406
  6. Step 6: Final answer
    x = 1,202,408.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.