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Finding the Third Proportional to 264,677 and 624,710

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Solution

The third proportional to 264,677 and 624,710 is: 1,474,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,677 : 624,710 = 624,710 : x
  2. Step 2: Convert to fraction form
    264,677/624,710 = 624,710/x
  3. Step 3: Cross multiply
    264,677x = 624,710 × 624,710
  4. Step 4: Simplify right side
    264,677x = 390,262,584,100
  5. Step 5: Solve for x
    x = 390,262,584,100/264,677
  6. Step 6: Final answer
    x = 1,474,486.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.