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Finding the Third Proportional to 295,135 and 645,322

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Solution

The third proportional to 295,135 and 645,322 is: 1,411,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,135 : 645,322 = 645,322 : x
  2. Step 2: Convert to fraction form
    295,135/645,322 = 645,322/x
  3. Step 3: Cross multiply
    295,135x = 645,322 × 645,322
  4. Step 4: Simplify right side
    295,135x = 416,440,483,684
  5. Step 5: Solve for x
    x = 416,440,483,684/295,135
  6. Step 6: Final answer
    x = 1,411,016.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.