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Finding the Third Proportional to 302,190,734.25 and 657,585,279

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Solution

The third proportional to 302,190,734.25 and 657,585,279 is: 1,430,945,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190,734.25 : 657,585,279 = 657,585,279 : x
  2. Step 2: Convert to fraction form
    302,190,734.25/657,585,279 = 657,585,279/x
  3. Step 3: Cross multiply
    302,190,734.25x = 657,585,279 × 657,585,279
  4. Step 4: Simplify right side
    302,190,734.25x = 432,418,399,157,507,840
  5. Step 5: Solve for x
    x = 432,418,399,157,507,840/302,190,734.25
  6. Step 6: Final answer
    x = 1,430,945,261.21

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Why These Related Problems?

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