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Finding the Third Proportional to 633,906 and 931,459.50

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Solution

The third proportional to 633,906 and 931,459.50 is: 1,368,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,906 : 931,459.50 = 931,459.50 : x
  2. Step 2: Convert to fraction form
    633,906/931,459.50 = 931,459.50/x
  3. Step 3: Cross multiply
    633,906x = 931,459.50 × 931,459.50
  4. Step 4: Simplify right side
    633,906x = 867,616,800,140.25
  5. Step 5: Solve for x
    x = 867,616,800,140.25/633,906
  6. Step 6: Final answer
    x = 1,368,683.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.