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Finding the Third Proportional to 304,506 and 655,668

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Solution

The third proportional to 304,506 and 655,668 is: 1,411,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506 : 655,668 = 655,668 : x
  2. Step 2: Convert to fraction form
    304,506/655,668 = 655,668/x
  3. Step 3: Cross multiply
    304,506x = 655,668 × 655,668
  4. Step 4: Simplify right side
    304,506x = 429,900,526,224
  5. Step 5: Solve for x
    x = 429,900,526,224/304,506
  6. Step 6: Final answer
    x = 1,411,796.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.