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Finding the Third Proportional to 312,207 and 736,165.50

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Solution

The third proportional to 312,207 and 736,165.50 is: 1,735,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,207 : 736,165.50 = 736,165.50 : x
  2. Step 2: Convert to fraction form
    312,207/736,165.50 = 736,165.50/x
  3. Step 3: Cross multiply
    312,207x = 736,165.50 × 736,165.50
  4. Step 4: Simplify right side
    312,207x = 541,939,643,390.25
  5. Step 5: Solve for x
    x = 541,939,643,390.25/312,207
  6. Step 6: Final answer
    x = 1,735,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.