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Finding the Third Proportional to 369,563 and 514,894

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Solution

The third proportional to 369,563 and 514,894 is: 717,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,563 : 514,894 = 514,894 : x
  2. Step 2: Convert to fraction form
    369,563/514,894 = 514,894/x
  3. Step 3: Cross multiply
    369,563x = 514,894 × 514,894
  4. Step 4: Simplify right side
    369,563x = 265,115,831,236
  5. Step 5: Solve for x
    x = 265,115,831,236/369,563
  6. Step 6: Final answer
    x = 717,376.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.