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Finding the Third Proportional to 323,624 and 506,572

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Solution

The third proportional to 323,624 and 506,572 is: 792,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,624 : 506,572 = 506,572 : x
  2. Step 2: Convert to fraction form
    323,624/506,572 = 506,572/x
  3. Step 3: Cross multiply
    323,624x = 506,572 × 506,572
  4. Step 4: Simplify right side
    323,624x = 256,615,191,184
  5. Step 5: Solve for x
    x = 256,615,191,184/323,624
  6. Step 6: Final answer
    x = 792,942.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.