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Finding the Third Proportional to 332,345 and 731,146

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Solution

The third proportional to 332,345 and 731,146 is: 1,608,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,345 : 731,146 = 731,146 : x
  2. Step 2: Convert to fraction form
    332,345/731,146 = 731,146/x
  3. Step 3: Cross multiply
    332,345x = 731,146 × 731,146
  4. Step 4: Simplify right side
    332,345x = 534,574,473,316
  5. Step 5: Solve for x
    x = 534,574,473,316/332,345
  6. Step 6: Final answer
    x = 1,608,492.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.