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Finding the Third Proportional to 342,345 and 500,835

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Solution

The third proportional to 342,345 and 500,835 is: 732,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,345 : 500,835 = 500,835 : x
  2. Step 2: Convert to fraction form
    342,345/500,835 = 500,835/x
  3. Step 3: Cross multiply
    342,345x = 500,835 × 500,835
  4. Step 4: Simplify right side
    342,345x = 250,835,697,225
  5. Step 5: Solve for x
    x = 250,835,697,225/342,345
  6. Step 6: Final answer
    x = 732,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.