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Finding the Third Proportional to 256,450,390.88 and 604,781,282.25

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Solution

The third proportional to 256,450,390.88 and 604,781,282.25 is: 1,426,242,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450,390.88 : 604,781,282.25 = 604,781,282.25 : x
  2. Step 2: Convert to fraction form
    256,450,390.88/604,781,282.25 = 604,781,282.25/x
  3. Step 3: Cross multiply
    256,450,390.88x = 604,781,282.25 × 604,781,282.25
  4. Step 4: Simplify right side
    256,450,390.88x = 365,760,399,359,954,176
  5. Step 5: Solve for x
    x = 365,760,399,359,954,176/256,450,390.88
  6. Step 6: Final answer
    x = 1,426,242,315.76

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