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Finding the Third Proportional to 897.19 and 1,385.72

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Solution

The third proportional to 897.19 and 1,385.72 is: 2,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.19 : 1,385.72 = 1,385.72 : x
  2. Step 2: Convert to fraction form
    897.19/1,385.72 = 1,385.72/x
  3. Step 3: Cross multiply
    897.19x = 1,385.72 × 1,385.72
  4. Step 4: Simplify right side
    897.19x = 1,920,216.45
  5. Step 5: Solve for x
    x = 1,920,216.45/897.19
  6. Step 6: Final answer
    x = 2,140.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.