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Finding the Third Proportional to 294,651 and 460,930.50

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Solution

The third proportional to 294,651 and 460,930.50 is: 721,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,651 : 460,930.50 = 460,930.50 : x
  2. Step 2: Convert to fraction form
    294,651/460,930.50 = 460,930.50/x
  3. Step 3: Cross multiply
    294,651x = 460,930.50 × 460,930.50
  4. Step 4: Simplify right side
    294,651x = 212,456,925,830.25
  5. Step 5: Solve for x
    x = 212,456,925,830.25/294,651
  6. Step 6: Final answer
    x = 721,046.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.