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Finding the Third Proportional to 297,030 and 403,573.50

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Solution

The third proportional to 297,030 and 403,573.50 is: 548,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,030 : 403,573.50 = 403,573.50 : x
  2. Step 2: Convert to fraction form
    297,030/403,573.50 = 403,573.50/x
  3. Step 3: Cross multiply
    297,030x = 403,573.50 × 403,573.50
  4. Step 4: Simplify right side
    297,030x = 162,871,569,902.25
  5. Step 5: Solve for x
    x = 162,871,569,902.25/297,030
  6. Step 6: Final answer
    x = 548,333.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.