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Finding the Third Proportional to 302,024,264 and 466,388,514

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Solution

The third proportional to 302,024,264 and 466,388,514 is: 720,201,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,264 : 466,388,514 = 466,388,514 : x
  2. Step 2: Convert to fraction form
    302,024,264/466,388,514 = 466,388,514/x
  3. Step 3: Cross multiply
    302,024,264x = 466,388,514 × 466,388,514
  4. Step 4: Simplify right side
    302,024,264x = 217,518,245,991,128,192
  5. Step 5: Solve for x
    x = 217,518,245,991,128,192/302,024,264
  6. Step 6: Final answer
    x = 720,201,228.57

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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.