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Finding the Third Proportional to 292,215 and 427,812.75

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Solution

The third proportional to 292,215 and 427,812.75 is: 626,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215 : 427,812.75 = 427,812.75 : x
  2. Step 2: Convert to fraction form
    292,215/427,812.75 = 427,812.75/x
  3. Step 3: Cross multiply
    292,215x = 427,812.75 × 427,812.75
  4. Step 4: Simplify right side
    292,215x = 183,023,749,062.56
  5. Step 5: Solve for x
    x = 183,023,749,062.56/292,215
  6. Step 6: Final answer
    x = 626,332.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.