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Finding the Third Proportional to 338,088 and 732,552

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Solution

The third proportional to 338,088 and 732,552 is: 1,587,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,088 : 732,552 = 732,552 : x
  2. Step 2: Convert to fraction form
    338,088/732,552 = 732,552/x
  3. Step 3: Cross multiply
    338,088x = 732,552 × 732,552
  4. Step 4: Simplify right side
    338,088x = 536,632,432,704
  5. Step 5: Solve for x
    x = 536,632,432,704/338,088
  6. Step 6: Final answer
    x = 1,587,256.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.