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Finding the Third Proportional to 434,767.50 and 929,237.06

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Solution

The third proportional to 434,767.50 and 929,237.06 is: 1,986,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,767.50 : 929,237.06 = 929,237.06 : x
  2. Step 2: Convert to fraction form
    434,767.50/929,237.06 = 929,237.06/x
  3. Step 3: Cross multiply
    434,767.50x = 929,237.06 × 929,237.06
  4. Step 4: Simplify right side
    434,767.50x = 863,481,518,323.63
  5. Step 5: Solve for x
    x = 863,481,518,323.63/434,767.50
  6. Step 6: Final answer
    x = 1,986,076.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.