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Finding the Third Proportional to 465,030 and 658,201.50

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Solution

The third proportional to 465,030 and 658,201.50 is: 931,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,030 : 658,201.50 = 658,201.50 : x
  2. Step 2: Convert to fraction form
    465,030/658,201.50 = 658,201.50/x
  3. Step 3: Cross multiply
    465,030x = 658,201.50 × 658,201.50
  4. Step 4: Simplify right side
    465,030x = 433,229,214,602.25
  5. Step 5: Solve for x
    x = 433,229,214,602.25/465,030
  6. Step 6: Final answer
    x = 931,615.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.