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Finding the Third Proportional to 354,368 and 530,560

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Solution

The third proportional to 354,368 and 530,560 is: 794,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,368 : 530,560 = 530,560 : x
  2. Step 2: Convert to fraction form
    354,368/530,560 = 530,560/x
  3. Step 3: Cross multiply
    354,368x = 530,560 × 530,560
  4. Step 4: Simplify right side
    354,368x = 281,493,913,600
  5. Step 5: Solve for x
    x = 281,493,913,600/354,368
  6. Step 6: Final answer
    x = 794,354.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.