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Finding the Third Proportional to 216,347.63 and 473,412.94

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Solution

The third proportional to 216,347.63 and 473,412.94 is: 1,035,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,347.63 : 473,412.94 = 473,412.94 : x
  2. Step 2: Convert to fraction form
    216,347.63/473,412.94 = 473,412.94/x
  3. Step 3: Cross multiply
    216,347.63x = 473,412.94 × 473,412.94
  4. Step 4: Simplify right side
    216,347.63x = 224,119,809,392.38
  5. Step 5: Solve for x
    x = 224,119,809,392.38/216,347.63
  6. Step 6: Final answer
    x = 1,035,924.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.