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Finding the Third Proportional to 290,468 and 443,316

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Solution

The third proportional to 290,468 and 443,316 is: 676,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,468 : 443,316 = 443,316 : x
  2. Step 2: Convert to fraction form
    290,468/443,316 = 443,316/x
  3. Step 3: Cross multiply
    290,468x = 443,316 × 443,316
  4. Step 4: Simplify right side
    290,468x = 196,529,075,856
  5. Step 5: Solve for x
    x = 196,529,075,856/290,468
  6. Step 6: Final answer
    x = 676,594.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.