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Finding the Third Proportional to 302,975,206 and 654,377,900

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Solution

The third proportional to 302,975,206 and 654,377,900 is: 1,413,351,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,975,206 : 654,377,900 = 654,377,900 : x
  2. Step 2: Convert to fraction form
    302,975,206/654,377,900 = 654,377,900/x
  3. Step 3: Cross multiply
    302,975,206x = 654,377,900 × 654,377,900
  4. Step 4: Simplify right side
    302,975,206x = 428,210,436,008,409,984
  5. Step 5: Solve for x
    x = 428,210,436,008,409,984/302,975,206
  6. Step 6: Final answer
    x = 1,413,351,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.