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Finding the Third Proportional to 525,000 and 787,335

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Solution

The third proportional to 525,000 and 787,335 is: 1,180,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,000 : 787,335 = 787,335 : x
  2. Step 2: Convert to fraction form
    525,000/787,335 = 787,335/x
  3. Step 3: Cross multiply
    525,000x = 787,335 × 787,335
  4. Step 4: Simplify right side
    525,000x = 619,896,402,225
  5. Step 5: Solve for x
    x = 619,896,402,225/525,000
  6. Step 6: Final answer
    x = 1,180,755.05

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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.