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Finding the Third Proportional to 340,123.50 and 530,862.75

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Solution

The third proportional to 340,123.50 and 530,862.75 is: 828,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,123.50 : 530,862.75 = 530,862.75 : x
  2. Step 2: Convert to fraction form
    340,123.50/530,862.75 = 530,862.75/x
  3. Step 3: Cross multiply
    340,123.50x = 530,862.75 × 530,862.75
  4. Step 4: Simplify right side
    340,123.50x = 281,815,259,337.56
  5. Step 5: Solve for x
    x = 281,815,259,337.56/340,123.50
  6. Step 6: Final answer
    x = 828,567.44

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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.