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Finding the Third Proportional to 294,409.50 and 638,607

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Solution

The third proportional to 294,409.50 and 638,607 is: 1,385,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,409.50 : 638,607 = 638,607 : x
  2. Step 2: Convert to fraction form
    294,409.50/638,607 = 638,607/x
  3. Step 3: Cross multiply
    294,409.50x = 638,607 × 638,607
  4. Step 4: Simplify right side
    294,409.50x = 407,818,900,449
  5. Step 5: Solve for x
    x = 407,818,900,449/294,409.50
  6. Step 6: Final answer
    x = 1,385,209.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.