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Finding the Third Proportional to 294,602.06 and 450,476.44

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Solution

The third proportional to 294,602.06 and 450,476.44 is: 688,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,602.06 : 450,476.44 = 450,476.44 : x
  2. Step 2: Convert to fraction form
    294,602.06/450,476.44 = 450,476.44/x
  3. Step 3: Cross multiply
    294,602.06x = 450,476.44 × 450,476.44
  4. Step 4: Simplify right side
    294,602.06x = 202,929,020,742.69
  5. Step 5: Solve for x
    x = 202,929,020,742.69/294,602.06
  6. Step 6: Final answer
    x = 688,824.17

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Why These Related Problems?

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