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Finding the Third Proportional to 302,095,969 and 466,489,025

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Solution

The third proportional to 302,095,969 and 466,489,025 is: 720,340,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,095,969 : 466,489,025 = 466,489,025 : x
  2. Step 2: Convert to fraction form
    302,095,969/466,489,025 = 466,489,025/x
  3. Step 3: Cross multiply
    302,095,969x = 466,489,025 × 466,489,025
  4. Step 4: Simplify right side
    302,095,969x = 217,612,010,445,450,624
  5. Step 5: Solve for x
    x = 217,612,010,445,450,624/302,095,969
  6. Step 6: Final answer
    x = 720,340,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.