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Finding the Third Proportional to 403,834 and 625,223

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Solution

The third proportional to 403,834 and 625,223 is: 967,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,834 : 625,223 = 625,223 : x
  2. Step 2: Convert to fraction form
    403,834/625,223 = 625,223/x
  3. Step 3: Cross multiply
    403,834x = 625,223 × 625,223
  4. Step 4: Simplify right side
    403,834x = 390,903,799,729
  5. Step 5: Solve for x
    x = 390,903,799,729/403,834
  6. Step 6: Final answer
    x = 967,981.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.