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Finding the Third Proportional to 200,012.63 and 437,386.13

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Solution

The third proportional to 200,012.63 and 437,386.13 is: 956,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012.63 : 437,386.13 = 437,386.13 : x
  2. Step 2: Convert to fraction form
    200,012.63/437,386.13 = 437,386.13/x
  3. Step 3: Cross multiply
    200,012.63x = 437,386.13 × 437,386.13
  4. Step 4: Simplify right side
    200,012.63x = 191,306,622,342.52
  5. Step 5: Solve for x
    x = 191,306,622,342.52/200,012.63
  6. Step 6: Final answer
    x = 956,472.73

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Why These Related Problems?

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