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Finding the Third Proportional to 295,263 and 627,435

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Solution

The third proportional to 295,263 and 627,435 is: 1,333,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,263 : 627,435 = 627,435 : x
  2. Step 2: Convert to fraction form
    295,263/627,435 = 627,435/x
  3. Step 3: Cross multiply
    295,263x = 627,435 × 627,435
  4. Step 4: Simplify right side
    295,263x = 393,674,679,225
  5. Step 5: Solve for x
    x = 393,674,679,225/295,263
  6. Step 6: Final answer
    x = 1,333,301.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.