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Finding the Third Proportional to 341,056 and 736,544

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Solution

The third proportional to 341,056 and 736,544 is: 1,590,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,056 : 736,544 = 736,544 : x
  2. Step 2: Convert to fraction form
    341,056/736,544 = 736,544/x
  3. Step 3: Cross multiply
    341,056x = 736,544 × 736,544
  4. Step 4: Simplify right side
    341,056x = 542,497,063,936
  5. Step 5: Solve for x
    x = 542,497,063,936/341,056
  6. Step 6: Final answer
    x = 1,590,639.26

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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.