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Finding the Third Proportional to 385,755 and 834,931.50

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Solution

The third proportional to 385,755 and 834,931.50 is: 1,807,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,755 : 834,931.50 = 834,931.50 : x
  2. Step 2: Convert to fraction form
    385,755/834,931.50 = 834,931.50/x
  3. Step 3: Cross multiply
    385,755x = 834,931.50 × 834,931.50
  4. Step 4: Simplify right side
    385,755x = 697,110,609,692.25
  5. Step 5: Solve for x
    x = 697,110,609,692.25/385,755
  6. Step 6: Final answer
    x = 1,807,133.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.