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Finding the Third Proportional to 302,096,916 and 466,490,457

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Solution

The third proportional to 302,096,916 and 466,490,457 is: 720,342,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,916 : 466,490,457 = 466,490,457 : x
  2. Step 2: Convert to fraction form
    302,096,916/466,490,457 = 466,490,457/x
  3. Step 3: Cross multiply
    302,096,916x = 466,490,457 × 466,490,457
  4. Step 4: Simplify right side
    302,096,916x = 217,613,346,472,068,864
  5. Step 5: Solve for x
    x = 217,613,346,472,068,864/302,096,916
  6. Step 6: Final answer
    x = 720,342,826.91

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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.