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Finding the Third Proportional to 624,852.75 and 946,042.50

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Solution

The third proportional to 624,852.75 and 946,042.50 is: 1,432,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,852.75 : 946,042.50 = 946,042.50 : x
  2. Step 2: Convert to fraction form
    624,852.75/946,042.50 = 946,042.50/x
  3. Step 3: Cross multiply
    624,852.75x = 946,042.50 × 946,042.50
  4. Step 4: Simplify right side
    624,852.75x = 894,996,411,806.25
  5. Step 5: Solve for x
    x = 894,996,411,806.25/624,852.75
  6. Step 6: Final answer
    x = 1,432,331.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.