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Finding the Third Proportional to 342,337.88 and 738,803.63

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Solution

The third proportional to 342,337.88 and 738,803.63 is: 1,594,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,337.88 : 738,803.63 = 738,803.63 : x
  2. Step 2: Convert to fraction form
    342,337.88/738,803.63 = 738,803.63/x
  3. Step 3: Cross multiply
    342,337.88x = 738,803.63 × 738,803.63
  4. Step 4: Simplify right side
    342,337.88x = 545,830,796,313.14
  5. Step 5: Solve for x
    x = 545,830,796,313.14/342,337.88
  6. Step 6: Final answer
    x = 1,594,421.29

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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.