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Finding the Third Proportional to 430,452 and 849,888

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Solution

The third proportional to 430,452 and 849,888 is: 1,678,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,452 : 849,888 = 849,888 : x
  2. Step 2: Convert to fraction form
    430,452/849,888 = 849,888/x
  3. Step 3: Cross multiply
    430,452x = 849,888 × 849,888
  4. Step 4: Simplify right side
    430,452x = 722,309,612,544
  5. Step 5: Solve for x
    x = 722,309,612,544/430,452
  6. Step 6: Final answer
    x = 1,678,025.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.