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Finding the Third Proportional to 463,091 and 713,088

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Solution

The third proportional to 463,091 and 713,088 is: 1,098,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,091 : 713,088 = 713,088 : x
  2. Step 2: Convert to fraction form
    463,091/713,088 = 713,088/x
  3. Step 3: Cross multiply
    463,091x = 713,088 × 713,088
  4. Step 4: Simplify right side
    463,091x = 508,494,495,744
  5. Step 5: Solve for x
    x = 508,494,495,744/463,091
  6. Step 6: Final answer
    x = 1,098,044.44

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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.