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Finding the Third Proportional to 304,532 and 655,724

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Solution

The third proportional to 304,532 and 655,724 is: 1,411,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,532 : 655,724 = 655,724 : x
  2. Step 2: Convert to fraction form
    304,532/655,724 = 655,724/x
  3. Step 3: Cross multiply
    304,532x = 655,724 × 655,724
  4. Step 4: Simplify right side
    304,532x = 429,973,964,176
  5. Step 5: Solve for x
    x = 429,973,964,176/304,532
  6. Step 6: Final answer
    x = 1,411,917.18

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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.