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Finding the Third Proportional to 345,378.94 and 532,830.66

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Solution

The third proportional to 345,378.94 and 532,830.66 is: 822,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,378.94 : 532,830.66 = 532,830.66 : x
  2. Step 2: Convert to fraction form
    345,378.94/532,830.66 = 532,830.66/x
  3. Step 3: Cross multiply
    345,378.94x = 532,830.66 × 532,830.66
  4. Step 4: Simplify right side
    345,378.94x = 283,908,508,239.81
  5. Step 5: Solve for x
    x = 283,908,508,239.81/345,378.94
  6. Step 6: Final answer
    x = 822,020.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.