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Finding the Third Proportional to 301,830 and 656,076

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Solution

The third proportional to 301,830 and 656,076 is: 1,426,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830 : 656,076 = 656,076 : x
  2. Step 2: Convert to fraction form
    301,830/656,076 = 656,076/x
  3. Step 3: Cross multiply
    301,830x = 656,076 × 656,076
  4. Step 4: Simplify right side
    301,830x = 430,435,717,776
  5. Step 5: Solve for x
    x = 430,435,717,776/301,830
  6. Step 6: Final answer
    x = 1,426,086.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.