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Finding the Third Proportional to 293,466 and 393,085.50

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Solution

The third proportional to 293,466 and 393,085.50 is: 526,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,466 : 393,085.50 = 393,085.50 : x
  2. Step 2: Convert to fraction form
    293,466/393,085.50 = 393,085.50/x
  3. Step 3: Cross multiply
    293,466x = 393,085.50 × 393,085.50
  4. Step 4: Simplify right side
    293,466x = 154,516,210,310.25
  5. Step 5: Solve for x
    x = 154,516,210,310.25/293,466
  6. Step 6: Final answer
    x = 526,521.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.