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Finding the Third Proportional to 385,506 and 835,366.50

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Solution

The third proportional to 385,506 and 835,366.50 is: 1,810,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506 : 835,366.50 = 835,366.50 : x
  2. Step 2: Convert to fraction form
    385,506/835,366.50 = 835,366.50/x
  3. Step 3: Cross multiply
    385,506x = 835,366.50 × 835,366.50
  4. Step 4: Simplify right side
    385,506x = 697,837,189,322.25
  5. Step 5: Solve for x
    x = 697,837,189,322.25/385,506
  6. Step 6: Final answer
    x = 1,810,185.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.