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Finding the Third Proportional to 528,825 and 805,630.50

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Solution

The third proportional to 528,825 and 805,630.50 is: 1,227,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,825 : 805,630.50 = 805,630.50 : x
  2. Step 2: Convert to fraction form
    528,825/805,630.50 = 805,630.50/x
  3. Step 3: Cross multiply
    528,825x = 805,630.50 × 805,630.50
  4. Step 4: Simplify right side
    528,825x = 649,040,502,530.25
  5. Step 5: Solve for x
    x = 649,040,502,530.25/528,825
  6. Step 6: Final answer
    x = 1,227,325.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.