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Finding the Third Proportional to 624,177 and 914,038.50

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Solution

The third proportional to 624,177 and 914,038.50 is: 1,338,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,177 : 914,038.50 = 914,038.50 : x
  2. Step 2: Convert to fraction form
    624,177/914,038.50 = 914,038.50/x
  3. Step 3: Cross multiply
    624,177x = 914,038.50 × 914,038.50
  4. Step 4: Simplify right side
    624,177x = 835,466,379,482.25
  5. Step 5: Solve for x
    x = 835,466,379,482.25/624,177
  6. Step 6: Final answer
    x = 1,338,508.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.