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Finding the Third Proportional to 624,645 and 935,253

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Solution

The third proportional to 624,645 and 935,253 is: 1,400,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,645 : 935,253 = 935,253 : x
  2. Step 2: Convert to fraction form
    624,645/935,253 = 935,253/x
  3. Step 3: Cross multiply
    624,645x = 935,253 × 935,253
  4. Step 4: Simplify right side
    624,645x = 874,698,174,009
  5. Step 5: Solve for x
    x = 874,698,174,009/624,645
  6. Step 6: Final answer
    x = 1,400,312.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.