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Finding the Third Proportional to 563,228.44 and 895,485.38

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Solution

The third proportional to 563,228.44 and 895,485.38 is: 1,423,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,228.44 : 895,485.38 = 895,485.38 : x
  2. Step 2: Convert to fraction form
    563,228.44/895,485.38 = 895,485.38/x
  3. Step 3: Cross multiply
    563,228.44x = 895,485.38 × 895,485.38
  4. Step 4: Simplify right side
    563,228.44x = 801,894,056,838.89
  5. Step 5: Solve for x
    x = 801,894,056,838.89/563,228.44
  6. Step 6: Final answer
    x = 1,423,745.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.