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Finding the Third Proportional to 264,217 and 623,603

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Solution

The third proportional to 264,217 and 623,603 is: 1,471,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,217 : 623,603 = 623,603 : x
  2. Step 2: Convert to fraction form
    264,217/623,603 = 623,603/x
  3. Step 3: Cross multiply
    264,217x = 623,603 × 623,603
  4. Step 4: Simplify right side
    264,217x = 388,880,701,609
  5. Step 5: Solve for x
    x = 388,880,701,609/264,217
  6. Step 6: Final answer
    x = 1,471,823.17

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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.