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Finding the Third Proportional to 420,273 and 634,783.50

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Solution

The third proportional to 420,273 and 634,783.50 is: 958,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,273 : 634,783.50 = 634,783.50 : x
  2. Step 2: Convert to fraction form
    420,273/634,783.50 = 634,783.50/x
  3. Step 3: Cross multiply
    420,273x = 634,783.50 × 634,783.50
  4. Step 4: Simplify right side
    420,273x = 402,950,091,872.25
  5. Step 5: Solve for x
    x = 402,950,091,872.25/420,273
  6. Step 6: Final answer
    x = 958,781.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.