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Finding the Third Proportional to 597,915 and 907,942.50

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Solution

The third proportional to 597,915 and 907,942.50 is: 1,378,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,915 : 907,942.50 = 907,942.50 : x
  2. Step 2: Convert to fraction form
    597,915/907,942.50 = 907,942.50/x
  3. Step 3: Cross multiply
    597,915x = 907,942.50 × 907,942.50
  4. Step 4: Simplify right side
    597,915x = 824,359,583,306.25
  5. Step 5: Solve for x
    x = 824,359,583,306.25/597,915
  6. Step 6: Final answer
    x = 1,378,723.70

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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.