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Finding the Third Proportional to 346,599 and 463,605

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Solution

The third proportional to 346,599 and 463,605 is: 620,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,599 : 463,605 = 463,605 : x
  2. Step 2: Convert to fraction form
    346,599/463,605 = 463,605/x
  3. Step 3: Cross multiply
    346,599x = 463,605 × 463,605
  4. Step 4: Simplify right side
    346,599x = 214,929,596,025
  5. Step 5: Solve for x
    x = 214,929,596,025/346,599
  6. Step 6: Final answer
    x = 620,110.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.