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Finding the Third Proportional to 568,123.50 and 1,216,050

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Solution

The third proportional to 568,123.50 and 1,216,050 is: 2,602,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,123.50 : 1,216,050 = 1,216,050 : x
  2. Step 2: Convert to fraction form
    568,123.50/1,216,050 = 1,216,050/x
  3. Step 3: Cross multiply
    568,123.50x = 1,216,050 × 1,216,050
  4. Step 4: Simplify right side
    568,123.50x = 1,478,777,602,500
  5. Step 5: Solve for x
    x = 1,478,777,602,500/568,123.50
  6. Step 6: Final answer
    x = 2,602,915.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.