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Finding the Third Proportional to 581,211 and 781,056

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Solution

The third proportional to 581,211 and 781,056 is: 1,049,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,211 : 781,056 = 781,056 : x
  2. Step 2: Convert to fraction form
    581,211/781,056 = 781,056/x
  3. Step 3: Cross multiply
    581,211x = 781,056 × 781,056
  4. Step 4: Simplify right side
    581,211x = 610,048,475,136
  5. Step 5: Solve for x
    x = 610,048,475,136/581,211
  6. Step 6: Final answer
    x = 1,049,616.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.