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Finding the Third Proportional to 264,824 and 410,316

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Solution

The third proportional to 264,824 and 410,316 is: 635,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,824 : 410,316 = 410,316 : x
  2. Step 2: Convert to fraction form
    264,824/410,316 = 410,316/x
  3. Step 3: Cross multiply
    264,824x = 410,316 × 410,316
  4. Step 4: Simplify right side
    264,824x = 168,359,219,856
  5. Step 5: Solve for x
    x = 168,359,219,856/264,824
  6. Step 6: Final answer
    x = 635,740.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.