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Finding the Third Proportional to 506,884 and 684,208

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Solution

The third proportional to 506,884 and 684,208 is: 923,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,884 : 684,208 = 684,208 : x
  2. Step 2: Convert to fraction form
    506,884/684,208 = 684,208/x
  3. Step 3: Cross multiply
    506,884x = 684,208 × 684,208
  4. Step 4: Simplify right side
    506,884x = 468,140,587,264
  5. Step 5: Solve for x
    x = 468,140,587,264/506,884
  6. Step 6: Final answer
    x = 923,565.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.