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Finding the Third Proportional to 217,415.63 and 473,428.13

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Solution

The third proportional to 217,415.63 and 473,428.13 is: 1,030,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,415.63 : 473,428.13 = 473,428.13 : x
  2. Step 2: Convert to fraction form
    217,415.63/473,428.13 = 473,428.13/x
  3. Step 3: Cross multiply
    217,415.63x = 473,428.13 × 473,428.13
  4. Step 4: Simplify right side
    217,415.63x = 224,134,189,541.02
  5. Step 5: Solve for x
    x = 224,134,189,541.02/217,415.63
  6. Step 6: Final answer
    x = 1,030,901.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.