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Finding the Third Proportional to 605,925 and 921,478.50

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Solution

The third proportional to 605,925 and 921,478.50 is: 1,401,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,925 : 921,478.50 = 921,478.50 : x
  2. Step 2: Convert to fraction form
    605,925/921,478.50 = 921,478.50/x
  3. Step 3: Cross multiply
    605,925x = 921,478.50 × 921,478.50
  4. Step 4: Simplify right side
    605,925x = 849,122,625,962.25
  5. Step 5: Solve for x
    x = 849,122,625,962.25/605,925
  6. Step 6: Final answer
    x = 1,401,365.89

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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.