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Finding the Third Proportional to 264,658 and 624,237

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Solution

The third proportional to 264,658 and 624,237 is: 1,472,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,658 : 624,237 = 624,237 : x
  2. Step 2: Convert to fraction form
    264,658/624,237 = 624,237/x
  3. Step 3: Cross multiply
    264,658x = 624,237 × 624,237
  4. Step 4: Simplify right side
    264,658x = 389,671,832,169
  5. Step 5: Solve for x
    x = 389,671,832,169/264,658
  6. Step 6: Final answer
    x = 1,472,359.92

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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.