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Finding the Third Proportional to 345,216.94 and 738,406.13

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Solution

The third proportional to 345,216.94 and 738,406.13 is: 1,579,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,216.94 : 738,406.13 = 738,406.13 : x
  2. Step 2: Convert to fraction form
    345,216.94/738,406.13 = 738,406.13/x
  3. Step 3: Cross multiply
    345,216.94x = 738,406.13 × 738,406.13
  4. Step 4: Simplify right side
    345,216.94x = 545,243,605,437.52
  5. Step 5: Solve for x
    x = 545,243,605,437.52/345,216.94
  6. Step 6: Final answer
    x = 1,579,423.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.