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Finding the Third Proportional to 338,484 and 720,436

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Solution

The third proportional to 338,484 and 720,436 is: 1,533,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,484 : 720,436 = 720,436 : x
  2. Step 2: Convert to fraction form
    338,484/720,436 = 720,436/x
  3. Step 3: Cross multiply
    338,484x = 720,436 × 720,436
  4. Step 4: Simplify right side
    338,484x = 519,028,030,096
  5. Step 5: Solve for x
    x = 519,028,030,096/338,484
  6. Step 6: Final answer
    x = 1,533,390.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.