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Finding the Third Proportional to 621,970.50 and 952,614

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Solution

The third proportional to 621,970.50 and 952,614 is: 1,459,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,970.50 : 952,614 = 952,614 : x
  2. Step 2: Convert to fraction form
    621,970.50/952,614 = 952,614/x
  3. Step 3: Cross multiply
    621,970.50x = 952,614 × 952,614
  4. Step 4: Simplify right side
    621,970.50x = 907,473,432,996
  5. Step 5: Solve for x
    x = 907,473,432,996/621,970.50
  6. Step 6: Final answer
    x = 1,459,029.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.