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Finding the Third Proportional to 310,051.50 and 465,076.50

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Solution

The third proportional to 310,051.50 and 465,076.50 is: 697,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,051.50 : 465,076.50 = 465,076.50 : x
  2. Step 2: Convert to fraction form
    310,051.50/465,076.50 = 465,076.50/x
  3. Step 3: Cross multiply
    310,051.50x = 465,076.50 × 465,076.50
  4. Step 4: Simplify right side
    310,051.50x = 216,296,150,852.25
  5. Step 5: Solve for x
    x = 216,296,150,852.25/310,051.50
  6. Step 6: Final answer
    x = 697,613.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.