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Finding the Third Proportional to 348,346 and 711,451

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Solution

The third proportional to 348,346 and 711,451 is: 1,453,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,346 : 711,451 = 711,451 : x
  2. Step 2: Convert to fraction form
    348,346/711,451 = 711,451/x
  3. Step 3: Cross multiply
    348,346x = 711,451 × 711,451
  4. Step 4: Simplify right side
    348,346x = 506,162,525,401
  5. Step 5: Solve for x
    x = 506,162,525,401/348,346
  6. Step 6: Final answer
    x = 1,453,045.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.