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Finding the Third Proportional to 463,089 and 713,085

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Solution

The third proportional to 463,089 and 713,085 is: 1,098,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,089 : 713,085 = 713,085 : x
  2. Step 2: Convert to fraction form
    463,089/713,085 = 713,085/x
  3. Step 3: Cross multiply
    463,089x = 713,085 × 713,085
  4. Step 4: Simplify right side
    463,089x = 508,490,217,225
  5. Step 5: Solve for x
    x = 508,490,217,225/463,089
  6. Step 6: Final answer
    x = 1,098,039.94

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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.