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Finding the Third Proportional to 782,551.50 and 1,243,865.25

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Solution

The third proportional to 782,551.50 and 1,243,865.25 is: 1,977,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,551.50 : 1,243,865.25 = 1,243,865.25 : x
  2. Step 2: Convert to fraction form
    782,551.50/1,243,865.25 = 1,243,865.25/x
  3. Step 3: Cross multiply
    782,551.50x = 1,243,865.25 × 1,243,865.25
  4. Step 4: Simplify right side
    782,551.50x = 1,547,200,760,157.56
  5. Step 5: Solve for x
    x = 1,547,200,760,157.56/782,551.50
  6. Step 6: Final answer
    x = 1,977,123.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.