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Finding the Third Proportional to 213,062.71 and 473,420.36

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Solution

The third proportional to 213,062.71 and 473,420.36 is: 1,051,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,062.71 : 473,420.36 = 473,420.36 : x
  2. Step 2: Convert to fraction form
    213,062.71/473,420.36 = 473,420.36/x
  3. Step 3: Cross multiply
    213,062.71x = 473,420.36 × 473,420.36
  4. Step 4: Simplify right side
    213,062.71x = 224,126,837,133.08
  5. Step 5: Solve for x
    x = 224,126,837,133.08/213,062.71
  6. Step 6: Final answer
    x = 1,051,928.98

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.