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Finding the Third Proportional to 463,883.50 and 653,237

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Solution

The third proportional to 463,883.50 and 653,237 is: 919,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,883.50 : 653,237 = 653,237 : x
  2. Step 2: Convert to fraction form
    463,883.50/653,237 = 653,237/x
  3. Step 3: Cross multiply
    463,883.50x = 653,237 × 653,237
  4. Step 4: Simplify right side
    463,883.50x = 426,718,578,169
  5. Step 5: Solve for x
    x = 426,718,578,169/463,883.50
  6. Step 6: Final answer
    x = 919,883.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.