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Finding the Third Proportional to 525,028 and 787,371

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Solution

The third proportional to 525,028 and 787,371 is: 1,180,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,028 : 787,371 = 787,371 : x
  2. Step 2: Convert to fraction form
    525,028/787,371 = 787,371/x
  3. Step 3: Cross multiply
    525,028x = 787,371 × 787,371
  4. Step 4: Simplify right side
    525,028x = 619,953,091,641
  5. Step 5: Solve for x
    x = 619,953,091,641/525,028
  6. Step 6: Final answer
    x = 1,180,800.06

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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.