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Finding the Third Proportional to 307,836,514 and 477,061,840

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Solution

The third proportional to 307,836,514 and 477,061,840 is: 739,314,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836,514 : 477,061,840 = 477,061,840 : x
  2. Step 2: Convert to fraction form
    307,836,514/477,061,840 = 477,061,840/x
  3. Step 3: Cross multiply
    307,836,514x = 477,061,840 × 477,061,840
  4. Step 4: Simplify right side
    307,836,514x = 227,587,999,184,185,600
  5. Step 5: Solve for x
    x = 227,587,999,184,185,600/307,836,514
  6. Step 6: Final answer
    x = 739,314,502.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.