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Finding the Third Proportional to 270,413 and 420,369

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Solution

The third proportional to 270,413 and 420,369 is: 653,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,413 : 420,369 = 420,369 : x
  2. Step 2: Convert to fraction form
    270,413/420,369 = 420,369/x
  3. Step 3: Cross multiply
    270,413x = 420,369 × 420,369
  4. Step 4: Simplify right side
    270,413x = 176,710,096,161
  5. Step 5: Solve for x
    x = 176,710,096,161/270,413
  6. Step 6: Final answer
    x = 653,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.