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Finding the Third Proportional to 675,158.63 and 1,035,284.63

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Solution

The third proportional to 675,158.63 and 1,035,284.63 is: 1,587,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,158.63 : 1,035,284.63 = 1,035,284.63 : x
  2. Step 2: Convert to fraction form
    675,158.63/1,035,284.63 = 1,035,284.63/x
  3. Step 3: Cross multiply
    675,158.63x = 1,035,284.63 × 1,035,284.63
  4. Step 4: Simplify right side
    675,158.63x = 1,071,814,254,761.39
  5. Step 5: Solve for x
    x = 1,071,814,254,761.39/675,158.63
  6. Step 6: Final answer
    x = 1,587,499.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.