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Finding the Third Proportional to 525,894 and 751,962

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Solution

The third proportional to 525,894 and 751,962 is: 1,075,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,894 : 751,962 = 751,962 : x
  2. Step 2: Convert to fraction form
    525,894/751,962 = 751,962/x
  3. Step 3: Cross multiply
    525,894x = 751,962 × 751,962
  4. Step 4: Simplify right side
    525,894x = 565,446,849,444
  5. Step 5: Solve for x
    x = 565,446,849,444/525,894
  6. Step 6: Final answer
    x = 1,075,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.