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Finding the Third Proportional to 342,337.63 and 738,803.38

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Solution

The third proportional to 342,337.63 and 738,803.38 is: 1,594,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,337.63 : 738,803.38 = 738,803.38 : x
  2. Step 2: Convert to fraction form
    342,337.63/738,803.38 = 738,803.38/x
  3. Step 3: Cross multiply
    342,337.63x = 738,803.38 × 738,803.38
  4. Step 4: Simplify right side
    342,337.63x = 545,830,426,911.39
  5. Step 5: Solve for x
    x = 545,830,426,911.39/342,337.63
  6. Step 6: Final answer
    x = 1,594,421.38

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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.