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Finding the Third Proportional to 525,009 and 787,348

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Solution

The third proportional to 525,009 and 787,348 is: 1,180,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,009 : 787,348 = 787,348 : x
  2. Step 2: Convert to fraction form
    525,009/787,348 = 787,348/x
  3. Step 3: Cross multiply
    525,009x = 787,348 × 787,348
  4. Step 4: Simplify right side
    525,009x = 619,916,873,104
  5. Step 5: Solve for x
    x = 619,916,873,104/525,009
  6. Step 6: Final answer
    x = 1,180,773.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.