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Finding the Third Proportional to 216,942 and 506,835

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Solution

The third proportional to 216,942 and 506,835 is: 1,184,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,942 : 506,835 = 506,835 : x
  2. Step 2: Convert to fraction form
    216,942/506,835 = 506,835/x
  3. Step 3: Cross multiply
    216,942x = 506,835 × 506,835
  4. Step 4: Simplify right side
    216,942x = 256,881,717,225
  5. Step 5: Solve for x
    x = 256,881,717,225/216,942
  6. Step 6: Final answer
    x = 1,184,103.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.