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Finding the Third Proportional to 401,088.38 and 601,718.63

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Solution

The third proportional to 401,088.38 and 601,718.63 is: 902,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,088.38 : 601,718.63 = 601,718.63 : x
  2. Step 2: Convert to fraction form
    401,088.38/601,718.63 = 601,718.63/x
  3. Step 3: Cross multiply
    401,088.38x = 601,718.63 × 601,718.63
  4. Step 4: Simplify right side
    401,088.38x = 362,065,303,671.89
  5. Step 5: Solve for x
    x = 362,065,303,671.89/401,088.38
  6. Step 6: Final answer
    x = 902,707.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.