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Finding the Third Proportional to 475,938 and 738,072

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Solution

The third proportional to 475,938 and 738,072 is: 1,144,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,938 : 738,072 = 738,072 : x
  2. Step 2: Convert to fraction form
    475,938/738,072 = 738,072/x
  3. Step 3: Cross multiply
    475,938x = 738,072 × 738,072
  4. Step 4: Simplify right side
    475,938x = 544,750,277,184
  5. Step 5: Solve for x
    x = 544,750,277,184/475,938
  6. Step 6: Final answer
    x = 1,144,582.44

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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.