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Finding the Third Proportional to 336,623 and 736,590

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Solution

The third proportional to 336,623 and 736,590 is: 1,611,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,623 : 736,590 = 736,590 : x
  2. Step 2: Convert to fraction form
    336,623/736,590 = 736,590/x
  3. Step 3: Cross multiply
    336,623x = 736,590 × 736,590
  4. Step 4: Simplify right side
    336,623x = 542,564,828,100
  5. Step 5: Solve for x
    x = 542,564,828,100/336,623
  6. Step 6: Final answer
    x = 1,611,787.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.