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Finding the Third Proportional to 302,975,280 and 654,378,048

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Solution

The third proportional to 302,975,280 and 654,378,048 is: 1,413,351,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,975,280 : 654,378,048 = 654,378,048 : x
  2. Step 2: Convert to fraction form
    302,975,280/654,378,048 = 654,378,048/x
  3. Step 3: Cross multiply
    302,975,280x = 654,378,048 × 654,378,048
  4. Step 4: Simplify right side
    302,975,280x = 428,210,629,704,290,304
  5. Step 5: Solve for x
    x = 428,210,629,704,290,304/302,975,280
  6. Step 6: Final answer
    x = 1,413,351,708.77

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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.