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Finding the Third Proportional to 346,569 and 463,573.50

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Solution

The third proportional to 346,569 and 463,573.50 is: 620,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,569 : 463,573.50 = 463,573.50 : x
  2. Step 2: Convert to fraction form
    346,569/463,573.50 = 463,573.50/x
  3. Step 3: Cross multiply
    346,569x = 463,573.50 × 463,573.50
  4. Step 4: Simplify right side
    346,569x = 214,900,389,902.25
  5. Step 5: Solve for x
    x = 214,900,389,902.25/346,569
  6. Step 6: Final answer
    x = 620,079.67

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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.