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Finding the Third Proportional to 302,024,272 and 466,388,527

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Solution

The third proportional to 302,024,272 and 466,388,527 is: 720,201,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,272 : 466,388,527 = 466,388,527 : x
  2. Step 2: Convert to fraction form
    302,024,272/466,388,527 = 466,388,527/x
  3. Step 3: Cross multiply
    302,024,272x = 466,388,527 × 466,388,527
  4. Step 4: Simplify right side
    302,024,272x = 217,518,258,117,229,728
  5. Step 5: Solve for x
    x = 217,518,258,117,229,728/302,024,272
  6. Step 6: Final answer
    x = 720,201,249.64

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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.