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Finding the Third Proportional to 250,192 and 510,572

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Solution

The third proportional to 250,192 and 510,572 is: 1,041,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,192 : 510,572 = 510,572 : x
  2. Step 2: Convert to fraction form
    250,192/510,572 = 510,572/x
  3. Step 3: Cross multiply
    250,192x = 510,572 × 510,572
  4. Step 4: Simplify right side
    250,192x = 260,683,767,184
  5. Step 5: Solve for x
    x = 260,683,767,184/250,192
  6. Step 6: Final answer
    x = 1,041,934.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.