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Finding the Third Proportional to 525,003 and 787,342

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Solution

The third proportional to 525,003 and 787,342 is: 1,180,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,003 : 787,342 = 787,342 : x
  2. Step 2: Convert to fraction form
    525,003/787,342 = 787,342/x
  3. Step 3: Cross multiply
    525,003x = 787,342 × 787,342
  4. Step 4: Simplify right side
    525,003x = 619,907,424,964
  5. Step 5: Solve for x
    x = 619,907,424,964/525,003
  6. Step 6: Final answer
    x = 1,180,769.30

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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.