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Finding the Third Proportional to 289,198,685 and 440,574,326

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Solution

The third proportional to 289,198,685 and 440,574,326 is: 671,184,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,198,685 : 440,574,326 = 440,574,326 : x
  2. Step 2: Convert to fraction form
    289,198,685/440,574,326 = 440,574,326/x
  3. Step 3: Cross multiply
    289,198,685x = 440,574,326 × 440,574,326
  4. Step 4: Simplify right side
    289,198,685x = 194,105,736,730,354,272
  5. Step 5: Solve for x
    x = 194,105,736,730,354,272/289,198,685
  6. Step 6: Final answer
    x = 671,184,714.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.