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Finding the Third Proportional to 276,544.13 and 430,854.19

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Solution

The third proportional to 276,544.13 and 430,854.19 is: 671,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,544.13 : 430,854.19 = 430,854.19 : x
  2. Step 2: Convert to fraction form
    276,544.13/430,854.19 = 430,854.19/x
  3. Step 3: Cross multiply
    276,544.13x = 430,854.19 × 430,854.19
  4. Step 4: Simplify right side
    276,544.13x = 185,635,330,886.29
  5. Step 5: Solve for x
    x = 185,635,330,886.29/276,544.13
  6. Step 6: Final answer
    x = 671,268.39

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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.