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Finding the Third Proportional to 302,975,204 and 654,377,896

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Solution

The third proportional to 302,975,204 and 654,377,896 is: 1,413,351,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,975,204 : 654,377,896 = 654,377,896 : x
  2. Step 2: Convert to fraction form
    302,975,204/654,377,896 = 654,377,896/x
  3. Step 3: Cross multiply
    302,975,204x = 654,377,896 × 654,377,896
  4. Step 4: Simplify right side
    302,975,204x = 428,210,430,773,386,816
  5. Step 5: Solve for x
    x = 428,210,430,773,386,816/302,975,204
  6. Step 6: Final answer
    x = 1,413,351,406.72

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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.