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Finding the Third Proportional to 302,096,769 and 466,490,241

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Solution

The third proportional to 302,096,769 and 466,490,241 is: 720,342,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,769 : 466,490,241 = 466,490,241 : x
  2. Step 2: Convert to fraction form
    302,096,769/466,490,241 = 466,490,241/x
  3. Step 3: Cross multiply
    302,096,769x = 466,490,241 × 466,490,241
  4. Step 4: Simplify right side
    302,096,769x = 217,613,144,948,238,080
  5. Step 5: Solve for x
    x = 217,613,144,948,238,080/302,096,769
  6. Step 6: Final answer
    x = 720,342,510.34

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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.