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Finding the Third Proportional to 663,472.50 and 1,000,706.63

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Solution

The third proportional to 663,472.50 and 1,000,706.63 is: 1,509,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,472.50 : 1,000,706.63 = 1,000,706.63 : x
  2. Step 2: Convert to fraction form
    663,472.50/1,000,706.63 = 1,000,706.63/x
  3. Step 3: Cross multiply
    663,472.50x = 1,000,706.63 × 1,000,706.63
  4. Step 4: Simplify right side
    663,472.50x = 1,001,413,749,318.89
  5. Step 5: Solve for x
    x = 1,001,413,749,318.89/663,472.50
  6. Step 6: Final answer
    x = 1,509,352.31

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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.