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Finding the Third Proportional to 486,368 and 759,072

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Solution

The third proportional to 486,368 and 759,072 is: 1,184,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,368 : 759,072 = 759,072 : x
  2. Step 2: Convert to fraction form
    486,368/759,072 = 759,072/x
  3. Step 3: Cross multiply
    486,368x = 759,072 × 759,072
  4. Step 4: Simplify right side
    486,368x = 576,190,301,184
  5. Step 5: Solve for x
    x = 576,190,301,184/486,368
  6. Step 6: Final answer
    x = 1,184,679.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.