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Finding the Third Proportional to 756,907.50 and 895,147.50

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Solution

The third proportional to 756,907.50 and 895,147.50 is: 1,058,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,907.50 : 895,147.50 = 895,147.50 : x
  2. Step 2: Convert to fraction form
    756,907.50/895,147.50 = 895,147.50/x
  3. Step 3: Cross multiply
    756,907.50x = 895,147.50 × 895,147.50
  4. Step 4: Simplify right side
    756,907.50x = 801,289,046,756.25
  5. Step 5: Solve for x
    x = 801,289,046,756.25/756,907.50
  6. Step 6: Final answer
    x = 1,058,635.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.