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Finding the Third Proportional to 497,330 and 750,131

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Solution

The third proportional to 497,330 and 750,131 is: 1,131,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,330 : 750,131 = 750,131 : x
  2. Step 2: Convert to fraction form
    497,330/750,131 = 750,131/x
  3. Step 3: Cross multiply
    497,330x = 750,131 × 750,131
  4. Step 4: Simplify right side
    497,330x = 562,696,517,161
  5. Step 5: Solve for x
    x = 562,696,517,161/497,330
  6. Step 6: Final answer
    x = 1,131,434.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.