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Finding the Third Proportional to 302,975,282 and 654,378,052

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Solution

The third proportional to 302,975,282 and 654,378,052 is: 1,413,351,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,975,282 : 654,378,052 = 654,378,052 : x
  2. Step 2: Convert to fraction form
    302,975,282/654,378,052 = 654,378,052/x
  3. Step 3: Cross multiply
    302,975,282x = 654,378,052 × 654,378,052
  4. Step 4: Simplify right side
    302,975,282x = 428,210,634,939,314,688
  5. Step 5: Solve for x
    x = 428,210,634,939,314,688/302,975,282
  6. Step 6: Final answer
    x = 1,413,351,716.72

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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.