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Finding the Third Proportional to 525,030 and 787,377

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Solution

The third proportional to 525,030 and 787,377 is: 1,180,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,030 : 787,377 = 787,377 : x
  2. Step 2: Convert to fraction form
    525,030/787,377 = 787,377/x
  3. Step 3: Cross multiply
    525,030x = 787,377 × 787,377
  4. Step 4: Simplify right side
    525,030x = 619,962,540,129
  5. Step 5: Solve for x
    x = 619,962,540,129/525,030
  6. Step 6: Final answer
    x = 1,180,813.55

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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.