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Finding the Third Proportional to 610,467 and 933,916.50

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Solution

The third proportional to 610,467 and 933,916.50 is: 1,428,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,467 : 933,916.50 = 933,916.50 : x
  2. Step 2: Convert to fraction form
    610,467/933,916.50 = 933,916.50/x
  3. Step 3: Cross multiply
    610,467x = 933,916.50 × 933,916.50
  4. Step 4: Simplify right side
    610,467x = 872,200,028,972.25
  5. Step 5: Solve for x
    x = 872,200,028,972.25/610,467
  6. Step 6: Final answer
    x = 1,428,742.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.