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Finding the Third Proportional to 256,450,386 and 604,781,274

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Solution

The third proportional to 256,450,386 and 604,781,274 is: 1,426,242,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450,386 : 604,781,274 = 604,781,274 : x
  2. Step 2: Convert to fraction form
    256,450,386/604,781,274 = 604,781,274/x
  3. Step 3: Cross multiply
    256,450,386x = 604,781,274 × 604,781,274
  4. Step 4: Simplify right side
    256,450,386x = 365,760,389,381,063,104
  5. Step 5: Solve for x
    x = 365,760,389,381,063,104/256,450,386
  6. Step 6: Final answer
    x = 1,426,242,303.96

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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.