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Finding the Third Proportional to 468,146.63 and 707,139.75

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Solution

The third proportional to 468,146.63 and 707,139.75 is: 1,068,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,146.63 : 707,139.75 = 707,139.75 : x
  2. Step 2: Convert to fraction form
    468,146.63/707,139.75 = 707,139.75/x
  3. Step 3: Cross multiply
    468,146.63x = 707,139.75 × 707,139.75
  4. Step 4: Simplify right side
    468,146.63x = 500,046,626,030.06
  5. Step 5: Solve for x
    x = 500,046,626,030.06/468,146.63
  6. Step 6: Final answer
    x = 1,068,141.05

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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.