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Finding the Third Proportional to 434,284.50 and 658,807.50

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Solution

The third proportional to 434,284.50 and 658,807.50 is: 999,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,284.50 : 658,807.50 = 658,807.50 : x
  2. Step 2: Convert to fraction form
    434,284.50/658,807.50 = 658,807.50/x
  3. Step 3: Cross multiply
    434,284.50x = 658,807.50 × 658,807.50
  4. Step 4: Simplify right side
    434,284.50x = 434,027,322,056.25
  5. Step 5: Solve for x
    x = 434,027,322,056.25/434,284.50
  6. Step 6: Final answer
    x = 999,407.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.