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Finding the Third Proportional to 336,959 and 732,963

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Solution

The third proportional to 336,959 and 732,963 is: 1,594,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,959 : 732,963 = 732,963 : x
  2. Step 2: Convert to fraction form
    336,959/732,963 = 732,963/x
  3. Step 3: Cross multiply
    336,959x = 732,963 × 732,963
  4. Step 4: Simplify right side
    336,959x = 537,234,759,369
  5. Step 5: Solve for x
    x = 537,234,759,369/336,959
  6. Step 6: Final answer
    x = 1,594,362.40

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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.