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Finding the Third Proportional to 438,619.50 and 549,054

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Solution

The third proportional to 438,619.50 and 549,054 is: 687,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,619.50 : 549,054 = 549,054 : x
  2. Step 2: Convert to fraction form
    438,619.50/549,054 = 549,054/x
  3. Step 3: Cross multiply
    438,619.50x = 549,054 × 549,054
  4. Step 4: Simplify right side
    438,619.50x = 301,460,294,916
  5. Step 5: Solve for x
    x = 301,460,294,916/438,619.50
  6. Step 6: Final answer
    x = 687,293.42

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.