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Finding the Third Proportional to 302,056,734 and 466,018,572

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Solution

The third proportional to 302,056,734 and 466,018,572 is: 718,981,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,056,734 : 466,018,572 = 466,018,572 : x
  2. Step 2: Convert to fraction form
    302,056,734/466,018,572 = 466,018,572/x
  3. Step 3: Cross multiply
    302,056,734x = 466,018,572 × 466,018,572
  4. Step 4: Simplify right side
    302,056,734x = 217,173,309,448,919,168
  5. Step 5: Solve for x
    x = 217,173,309,448,919,168/302,056,734
  6. Step 6: Final answer
    x = 718,981,850.11

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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.