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Finding the Third Proportional to 451,334.50 and 660,798.50

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Solution

The third proportional to 451,334.50 and 660,798.50 is: 967,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,334.50 : 660,798.50 = 660,798.50 : x
  2. Step 2: Convert to fraction form
    451,334.50/660,798.50 = 660,798.50/x
  3. Step 3: Cross multiply
    451,334.50x = 660,798.50 × 660,798.50
  4. Step 4: Simplify right side
    451,334.50x = 436,654,657,602.25
  5. Step 5: Solve for x
    x = 436,654,657,602.25/451,334.50
  6. Step 6: Final answer
    x = 967,474.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.