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Finding the Third Proportional to 346,603.50 and 463,612.50

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Solution

The third proportional to 346,603.50 and 463,612.50 is: 620,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,603.50 : 463,612.50 = 463,612.50 : x
  2. Step 2: Convert to fraction form
    346,603.50/463,612.50 = 463,612.50/x
  3. Step 3: Cross multiply
    346,603.50x = 463,612.50 × 463,612.50
  4. Step 4: Simplify right side
    346,603.50x = 214,936,550,156.25
  5. Step 5: Solve for x
    x = 214,936,550,156.25/346,603.50
  6. Step 6: Final answer
    x = 620,122.27

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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.