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Finding the Third Proportional to 525,824 and 815,712

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Solution

The third proportional to 525,824 and 815,712 is: 1,265,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,824 : 815,712 = 815,712 : x
  2. Step 2: Convert to fraction form
    525,824/815,712 = 815,712/x
  3. Step 3: Cross multiply
    525,824x = 815,712 × 815,712
  4. Step 4: Simplify right side
    525,824x = 665,386,066,944
  5. Step 5: Solve for x
    x = 665,386,066,944/525,824
  6. Step 6: Final answer
    x = 1,265,415.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.