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Finding the Third Proportional to 294,583.50 and 450,441

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Solution

The third proportional to 294,583.50 and 450,441 is: 688,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,583.50 : 450,441 = 450,441 : x
  2. Step 2: Convert to fraction form
    294,583.50/450,441 = 450,441/x
  3. Step 3: Cross multiply
    294,583.50x = 450,441 × 450,441
  4. Step 4: Simplify right side
    294,583.50x = 202,897,094,481
  5. Step 5: Solve for x
    x = 202,897,094,481/294,583.50
  6. Step 6: Final answer
    x = 688,759.20

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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.