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Finding the Third Proportional to 338,044 and 724,072

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Solution

The third proportional to 338,044 and 724,072 is: 1,550,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,044 : 724,072 = 724,072 : x
  2. Step 2: Convert to fraction form
    338,044/724,072 = 724,072/x
  3. Step 3: Cross multiply
    338,044x = 724,072 × 724,072
  4. Step 4: Simplify right side
    338,044x = 524,280,261,184
  5. Step 5: Solve for x
    x = 524,280,261,184/338,044
  6. Step 6: Final answer
    x = 1,550,923.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.