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Finding the Third Proportional to 298,417.50 and 456,340.50

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Solution

The third proportional to 298,417.50 and 456,340.50 is: 697,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,417.50 : 456,340.50 = 456,340.50 : x
  2. Step 2: Convert to fraction form
    298,417.50/456,340.50 = 456,340.50/x
  3. Step 3: Cross multiply
    298,417.50x = 456,340.50 × 456,340.50
  4. Step 4: Simplify right side
    298,417.50x = 208,246,651,940.25
  5. Step 5: Solve for x
    x = 208,246,651,940.25/298,417.50
  6. Step 6: Final answer
    x = 697,836.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.