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Finding the Third Proportional to 338,176 and 732,712

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Solution

The third proportional to 338,176 and 732,712 is: 1,587,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,176 : 732,712 = 732,712 : x
  2. Step 2: Convert to fraction form
    338,176/732,712 = 732,712/x
  3. Step 3: Cross multiply
    338,176x = 732,712 × 732,712
  4. Step 4: Simplify right side
    338,176x = 536,866,874,944
  5. Step 5: Solve for x
    x = 536,866,874,944/338,176
  6. Step 6: Final answer
    x = 1,587,536.89

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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.