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Finding the Third Proportional to 483,128 and 656,076

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Solution

The third proportional to 483,128 and 656,076 is: 890,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,128 : 656,076 = 656,076 : x
  2. Step 2: Convert to fraction form
    483,128/656,076 = 656,076/x
  3. Step 3: Cross multiply
    483,128x = 656,076 × 656,076
  4. Step 4: Simplify right side
    483,128x = 430,435,717,776
  5. Step 5: Solve for x
    x = 430,435,717,776/483,128
  6. Step 6: Final answer
    x = 890,935.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.