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Finding the Third Proportional to 352,572 and 514,094

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Solution

The third proportional to 352,572 and 514,094 is: 749,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,572 : 514,094 = 514,094 : x
  2. Step 2: Convert to fraction form
    352,572/514,094 = 514,094/x
  3. Step 3: Cross multiply
    352,572x = 514,094 × 514,094
  4. Step 4: Simplify right side
    352,572x = 264,292,640,836
  5. Step 5: Solve for x
    x = 264,292,640,836/352,572
  6. Step 6: Final answer
    x = 749,613.24

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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.