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Finding the Third Proportional to 343,594 and 513,804

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Solution

The third proportional to 343,594 and 513,804 is: 768,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,594 : 513,804 = 513,804 : x
  2. Step 2: Convert to fraction form
    343,594/513,804 = 513,804/x
  3. Step 3: Cross multiply
    343,594x = 513,804 × 513,804
  4. Step 4: Simplify right side
    343,594x = 263,994,550,416
  5. Step 5: Solve for x
    x = 263,994,550,416/343,594
  6. Step 6: Final answer
    x = 768,332.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.