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Finding the Third Proportional to 305,106 and 656,130

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Solution

The third proportional to 305,106 and 656,130 is: 1,411,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,106 : 656,130 = 656,130 : x
  2. Step 2: Convert to fraction form
    305,106/656,130 = 656,130/x
  3. Step 3: Cross multiply
    305,106x = 656,130 × 656,130
  4. Step 4: Simplify right side
    305,106x = 430,506,576,900
  5. Step 5: Solve for x
    x = 430,506,576,900/305,106
  6. Step 6: Final answer
    x = 1,411,006.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.