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Finding the Third Proportional to 346,069.13 and 523,715.63

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Solution

The third proportional to 346,069.13 and 523,715.63 is: 792,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,069.13 : 523,715.63 = 523,715.63 : x
  2. Step 2: Convert to fraction form
    346,069.13/523,715.63 = 523,715.63/x
  3. Step 3: Cross multiply
    346,069.13x = 523,715.63 × 523,715.63
  4. Step 4: Simplify right side
    346,069.13x = 274,278,055,869.14
  5. Step 5: Solve for x
    x = 274,278,055,869.14/346,069.13
  6. Step 6: Final answer
    x = 792,552.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.