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Finding the Third Proportional to 302,024,276 and 466,388,532

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Solution

The third proportional to 302,024,276 and 466,388,532 is: 720,201,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,276 : 466,388,532 = 466,388,532 : x
  2. Step 2: Convert to fraction form
    302,024,276/466,388,532 = 466,388,532/x
  3. Step 3: Cross multiply
    302,024,276x = 466,388,532 × 466,388,532
  4. Step 4: Simplify right side
    302,024,276x = 217,518,262,781,115,008
  5. Step 5: Solve for x
    x = 217,518,262,781,115,008/302,024,276
  6. Step 6: Final answer
    x = 720,201,255.55

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