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Finding the Third Proportional to 294,460.50 and 453,240

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Solution

The third proportional to 294,460.50 and 453,240 is: 697,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460.50 : 453,240 = 453,240 : x
  2. Step 2: Convert to fraction form
    294,460.50/453,240 = 453,240/x
  3. Step 3: Cross multiply
    294,460.50x = 453,240 × 453,240
  4. Step 4: Simplify right side
    294,460.50x = 205,426,497,600
  5. Step 5: Solve for x
    x = 205,426,497,600/294,460.50
  6. Step 6: Final answer
    x = 697,636.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.