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Finding the Third Proportional to 525,378 and 832,051

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Solution

The third proportional to 525,378 and 832,051 is: 1,317,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,378 : 832,051 = 832,051 : x
  2. Step 2: Convert to fraction form
    525,378/832,051 = 832,051/x
  3. Step 3: Cross multiply
    525,378x = 832,051 × 832,051
  4. Step 4: Simplify right side
    525,378x = 692,308,866,601
  5. Step 5: Solve for x
    x = 692,308,866,601/525,378
  6. Step 6: Final answer
    x = 1,317,734.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.