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Finding the Third Proportional to 595,237.50 and 1,249,440.75

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Solution

The third proportional to 595,237.50 and 1,249,440.75 is: 2,622,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,237.50 : 1,249,440.75 = 1,249,440.75 : x
  2. Step 2: Convert to fraction form
    595,237.50/1,249,440.75 = 1,249,440.75/x
  3. Step 3: Cross multiply
    595,237.50x = 1,249,440.75 × 1,249,440.75
  4. Step 4: Simplify right side
    595,237.50x = 1,561,102,187,760.56
  5. Step 5: Solve for x
    x = 1,561,102,187,760.56/595,237.50
  6. Step 6: Final answer
    x = 2,622,654.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.