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Finding the Third Proportional to 212,088.38 and 457,386.75

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Solution

The third proportional to 212,088.38 and 457,386.75 is: 986,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,088.38 : 457,386.75 = 457,386.75 : x
  2. Step 2: Convert to fraction form
    212,088.38/457,386.75 = 457,386.75/x
  3. Step 3: Cross multiply
    212,088.38x = 457,386.75 × 457,386.75
  4. Step 4: Simplify right side
    212,088.38x = 209,202,639,075.56
  5. Step 5: Solve for x
    x = 209,202,639,075.56/212,088.38
  6. Step 6: Final answer
    x = 986,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.