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Finding the Third Proportional to 303,753.80 and 716,122.90

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Solution

The third proportional to 303,753.80 and 716,122.90 is: 1,688,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,753.80 : 716,122.90 = 716,122.90 : x
  2. Step 2: Convert to fraction form
    303,753.80/716,122.90 = 716,122.90/x
  3. Step 3: Cross multiply
    303,753.80x = 716,122.90 × 716,122.90
  4. Step 4: Simplify right side
    303,753.80x = 512,832,005,666.53
  5. Step 5: Solve for x
    x = 512,832,005,666.53/303,753.80
  6. Step 6: Final answer
    x = 1,688,314.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.