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Finding the Third Proportional to 330,030 and 514,768.50

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Solution

The third proportional to 330,030 and 514,768.50 is: 802,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,030 : 514,768.50 = 514,768.50 : x
  2. Step 2: Convert to fraction form
    330,030/514,768.50 = 514,768.50/x
  3. Step 3: Cross multiply
    330,030x = 514,768.50 × 514,768.50
  4. Step 4: Simplify right side
    330,030x = 264,986,608,592.25
  5. Step 5: Solve for x
    x = 264,986,608,592.25/330,030
  6. Step 6: Final answer
    x = 802,916.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.