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Finding the Third Proportional to 350,443.97 and 549,020.53

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Solution

The third proportional to 350,443.97 and 549,020.53 is: 860,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,443.97 : 549,020.53 = 549,020.53 : x
  2. Step 2: Convert to fraction form
    350,443.97/549,020.53 = 549,020.53/x
  3. Step 3: Cross multiply
    350,443.97x = 549,020.53 × 549,020.53
  4. Step 4: Simplify right side
    350,443.97x = 301,423,543,734.03
  5. Step 5: Solve for x
    x = 301,423,543,734.03/350,443.97
  6. Step 6: Final answer
    x = 860,119.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.