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Finding the Third Proportional to 352,580 and 514,100

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Solution

The third proportional to 352,580 and 514,100 is: 749,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,580 : 514,100 = 514,100 : x
  2. Step 2: Convert to fraction form
    352,580/514,100 = 514,100/x
  3. Step 3: Cross multiply
    352,580x = 514,100 × 514,100
  4. Step 4: Simplify right side
    352,580x = 264,298,810,000
  5. Step 5: Solve for x
    x = 264,298,810,000/352,580
  6. Step 6: Final answer
    x = 749,613.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.