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Finding the Third Proportional to 291,084 and 633,423

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Solution

The third proportional to 291,084 and 633,423 is: 1,378,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,084 : 633,423 = 633,423 : x
  2. Step 2: Convert to fraction form
    291,084/633,423 = 633,423/x
  3. Step 3: Cross multiply
    291,084x = 633,423 × 633,423
  4. Step 4: Simplify right side
    291,084x = 401,224,696,929
  5. Step 5: Solve for x
    x = 401,224,696,929/291,084
  6. Step 6: Final answer
    x = 1,378,381.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.