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Finding the Third Proportional to 336,946 and 732,941

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Solution

The third proportional to 336,946 and 732,941 is: 1,594,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,946 : 732,941 = 732,941 : x
  2. Step 2: Convert to fraction form
    336,946/732,941 = 732,941/x
  3. Step 3: Cross multiply
    336,946x = 732,941 × 732,941
  4. Step 4: Simplify right side
    336,946x = 537,202,509,481
  5. Step 5: Solve for x
    x = 537,202,509,481/336,946
  6. Step 6: Final answer
    x = 1,594,328.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.