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Finding the Third Proportional to 465,145.03 and 700,429.78

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Solution

The third proportional to 465,145.03 and 700,429.78 is: 1,054,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,145.03 : 700,429.78 = 700,429.78 : x
  2. Step 2: Convert to fraction form
    465,145.03/700,429.78 = 700,429.78/x
  3. Step 3: Cross multiply
    465,145.03x = 700,429.78 × 700,429.78
  4. Step 4: Simplify right side
    465,145.03x = 490,601,878,461.92
  5. Step 5: Solve for x
    x = 490,601,878,461.92/465,145.03
  6. Step 6: Final answer
    x = 1,054,728.84

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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.