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Finding the Third Proportional to 338,484 and 522,402

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Solution

The third proportional to 338,484 and 522,402 is: 806,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,484 : 522,402 = 522,402 : x
  2. Step 2: Convert to fraction form
    338,484/522,402 = 522,402/x
  3. Step 3: Cross multiply
    338,484x = 522,402 × 522,402
  4. Step 4: Simplify right side
    338,484x = 272,903,849,604
  5. Step 5: Solve for x
    x = 272,903,849,604/338,484
  6. Step 6: Final answer
    x = 806,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.