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Finding the Third Proportional to 448,966.13 and 976,482

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Solution

The third proportional to 448,966.13 and 976,482 is: 2,123,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,966.13 : 976,482 = 976,482 : x
  2. Step 2: Convert to fraction form
    448,966.13/976,482 = 976,482/x
  3. Step 3: Cross multiply
    448,966.13x = 976,482 × 976,482
  4. Step 4: Simplify right side
    448,966.13x = 953,517,096,324
  5. Step 5: Solve for x
    x = 953,517,096,324/448,966.13
  6. Step 6: Final answer
    x = 2,123,806.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.