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Finding the Third Proportional to 437,537 and 674,972

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Solution

The third proportional to 437,537 and 674,972 is: 1,041,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,537 : 674,972 = 674,972 : x
  2. Step 2: Convert to fraction form
    437,537/674,972 = 674,972/x
  3. Step 3: Cross multiply
    437,537x = 674,972 × 674,972
  4. Step 4: Simplify right side
    437,537x = 455,587,200,784
  5. Step 5: Solve for x
    x = 455,587,200,784/437,537
  6. Step 6: Final answer
    x = 1,041,254.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.