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Finding the Third Proportional to 561,040.50 and 841,341.50

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Solution

The third proportional to 561,040.50 and 841,341.50 is: 1,261,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,040.50 : 841,341.50 = 841,341.50 : x
  2. Step 2: Convert to fraction form
    561,040.50/841,341.50 = 841,341.50/x
  3. Step 3: Cross multiply
    561,040.50x = 841,341.50 × 841,341.50
  4. Step 4: Simplify right side
    561,040.50x = 707,855,519,622.25
  5. Step 5: Solve for x
    x = 707,855,519,622.25/561,040.50
  6. Step 6: Final answer
    x = 1,261,683.46

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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.