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Finding the Third Proportional to 256,406,416 and 604,672,168

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Solution

The third proportional to 256,406,416 and 604,672,168 is: 1,425,972,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406,416 : 604,672,168 = 604,672,168 : x
  2. Step 2: Convert to fraction form
    256,406,416/604,672,168 = 604,672,168/x
  3. Step 3: Cross multiply
    256,406,416x = 604,672,168 × 604,672,168
  4. Step 4: Simplify right side
    256,406,416x = 365,628,430,753,820,224
  5. Step 5: Solve for x
    x = 365,628,430,753,820,224/256,406,416
  6. Step 6: Final answer
    x = 1,425,972,237.58

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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.