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Finding the Third Proportional to 288,457,314 and 680,256,399

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Solution

The third proportional to 288,457,314 and 680,256,399 is: 1,604,219,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457,314 : 680,256,399 = 680,256,399 : x
  2. Step 2: Convert to fraction form
    288,457,314/680,256,399 = 680,256,399/x
  3. Step 3: Cross multiply
    288,457,314x = 680,256,399 × 680,256,399
  4. Step 4: Simplify right side
    288,457,314x = 462,748,768,380,447,232
  5. Step 5: Solve for x
    x = 462,748,768,380,447,232/288,457,314
  6. Step 6: Final answer
    x = 1,604,219,223.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.