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Finding the Third Proportional to 460,808 and 658,956

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Solution

The third proportional to 460,808 and 658,956 is: 942,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,808 : 658,956 = 658,956 : x
  2. Step 2: Convert to fraction form
    460,808/658,956 = 658,956/x
  3. Step 3: Cross multiply
    460,808x = 658,956 × 658,956
  4. Step 4: Simplify right side
    460,808x = 434,223,009,936
  5. Step 5: Solve for x
    x = 434,223,009,936/460,808
  6. Step 6: Final answer
    x = 942,307.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.