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Finding the Third Proportional to 304,522 and 655,604

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Solution

The third proportional to 304,522 and 655,604 is: 1,411,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,522 : 655,604 = 655,604 : x
  2. Step 2: Convert to fraction form
    304,522/655,604 = 655,604/x
  3. Step 3: Cross multiply
    304,522x = 655,604 × 655,604
  4. Step 4: Simplify right side
    304,522x = 429,816,604,816
  5. Step 5: Solve for x
    x = 429,816,604,816/304,522
  6. Step 6: Final answer
    x = 1,411,446.81

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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.