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Finding the Third Proportional to 354,613 and 532,284

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Solution

The third proportional to 354,613 and 532,284 is: 798,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,613 : 532,284 = 532,284 : x
  2. Step 2: Convert to fraction form
    354,613/532,284 = 532,284/x
  3. Step 3: Cross multiply
    354,613x = 532,284 × 532,284
  4. Step 4: Simplify right side
    354,613x = 283,326,256,656
  5. Step 5: Solve for x
    x = 283,326,256,656/354,613
  6. Step 6: Final answer
    x = 798,973.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.