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Finding the Third Proportional to 290,484 and 633,537

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Solution

The third proportional to 290,484 and 633,537 is: 1,381,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,484 : 633,537 = 633,537 : x
  2. Step 2: Convert to fraction form
    290,484/633,537 = 633,537/x
  3. Step 3: Cross multiply
    290,484x = 633,537 × 633,537
  4. Step 4: Simplify right side
    290,484x = 401,369,130,369
  5. Step 5: Solve for x
    x = 401,369,130,369/290,484
  6. Step 6: Final answer
    x = 1,381,725.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.