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Finding the Third Proportional to 587,724 and 872,946

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Solution

The third proportional to 587,724 and 872,946 is: 1,296,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,724 : 872,946 = 872,946 : x
  2. Step 2: Convert to fraction form
    587,724/872,946 = 872,946/x
  3. Step 3: Cross multiply
    587,724x = 872,946 × 872,946
  4. Step 4: Simplify right side
    587,724x = 762,034,718,916
  5. Step 5: Solve for x
    x = 762,034,718,916/587,724
  6. Step 6: Final answer
    x = 1,296,586.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.