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Finding the Third Proportional to 301,656 and 632,688

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Solution

The third proportional to 301,656 and 632,688 is: 1,326,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,656 : 632,688 = 632,688 : x
  2. Step 2: Convert to fraction form
    301,656/632,688 = 632,688/x
  3. Step 3: Cross multiply
    301,656x = 632,688 × 632,688
  4. Step 4: Simplify right side
    301,656x = 400,294,105,344
  5. Step 5: Solve for x
    x = 400,294,105,344/301,656
  6. Step 6: Final answer
    x = 1,326,988.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.