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Finding the Third Proportional to 525,004 and 787,341

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Solution

The third proportional to 525,004 and 787,341 is: 1,180,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,004 : 787,341 = 787,341 : x
  2. Step 2: Convert to fraction form
    525,004/787,341 = 787,341/x
  3. Step 3: Cross multiply
    525,004x = 787,341 × 787,341
  4. Step 4: Simplify right side
    525,004x = 619,905,850,281
  5. Step 5: Solve for x
    x = 619,905,850,281/525,004
  6. Step 6: Final answer
    x = 1,180,764.05

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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.