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Finding the Third Proportional to 237,746 and 512,942

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Solution

The third proportional to 237,746 and 512,942 is: 1,106,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,746 : 512,942 = 512,942 : x
  2. Step 2: Convert to fraction form
    237,746/512,942 = 512,942/x
  3. Step 3: Cross multiply
    237,746x = 512,942 × 512,942
  4. Step 4: Simplify right side
    237,746x = 263,109,495,364
  5. Step 5: Solve for x
    x = 263,109,495,364/237,746
  6. Step 6: Final answer
    x = 1,106,683.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.