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Finding the Third Proportional to 523,639 and 805,870.50

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Solution

The third proportional to 523,639 and 805,870.50 is: 1,240,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,639 : 805,870.50 = 805,870.50 : x
  2. Step 2: Convert to fraction form
    523,639/805,870.50 = 805,870.50/x
  3. Step 3: Cross multiply
    523,639x = 805,870.50 × 805,870.50
  4. Step 4: Simplify right side
    523,639x = 649,427,262,770.25
  5. Step 5: Solve for x
    x = 649,427,262,770.25/523,639
  6. Step 6: Final answer
    x = 1,240,219.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.