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Finding the Third Proportional to 344,081 and 712,354

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Solution

The third proportional to 344,081 and 712,354 is: 1,474,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,081 : 712,354 = 712,354 : x
  2. Step 2: Convert to fraction form
    344,081/712,354 = 712,354/x
  3. Step 3: Cross multiply
    344,081x = 712,354 × 712,354
  4. Step 4: Simplify right side
    344,081x = 507,448,221,316
  5. Step 5: Solve for x
    x = 507,448,221,316/344,081
  6. Step 6: Final answer
    x = 1,474,792.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.