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Finding the Third Proportional to 302,836,456 and 658,817,012

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Solution

The third proportional to 302,836,456 and 658,817,012 is: 1,433,248,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,836,456 : 658,817,012 = 658,817,012 : x
  2. Step 2: Convert to fraction form
    302,836,456/658,817,012 = 658,817,012/x
  3. Step 3: Cross multiply
    302,836,456x = 658,817,012 × 658,817,012
  4. Step 4: Simplify right side
    302,836,456x = 434,039,855,300,608,128
  5. Step 5: Solve for x
    x = 434,039,855,300,608,128/302,836,456
  6. Step 6: Final answer
    x = 1,433,248,364.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.