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Finding the Third Proportional to 336,916 and 726,316

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Solution

The third proportional to 336,916 and 726,316 is: 1,565,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,916 : 726,316 = 726,316 : x
  2. Step 2: Convert to fraction form
    336,916/726,316 = 726,316/x
  3. Step 3: Cross multiply
    336,916x = 726,316 × 726,316
  4. Step 4: Simplify right side
    336,916x = 527,534,931,856
  5. Step 5: Solve for x
    x = 527,534,931,856/336,916
  6. Step 6: Final answer
    x = 1,565,775.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.