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Finding the Third Proportional to 349,391 and 744,537

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Solution

The third proportional to 349,391 and 744,537 is: 1,586,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,391 : 744,537 = 744,537 : x
  2. Step 2: Convert to fraction form
    349,391/744,537 = 744,537/x
  3. Step 3: Cross multiply
    349,391x = 744,537 × 744,537
  4. Step 4: Simplify right side
    349,391x = 554,335,344,369
  5. Step 5: Solve for x
    x = 554,335,344,369/349,391
  6. Step 6: Final answer
    x = 1,586,575.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.