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Finding the Third Proportional to 525,394 and 832,076

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Solution

The third proportional to 525,394 and 832,076 is: 1,317,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,394 : 832,076 = 832,076 : x
  2. Step 2: Convert to fraction form
    525,394/832,076 = 832,076/x
  3. Step 3: Cross multiply
    525,394x = 832,076 × 832,076
  4. Step 4: Simplify right side
    525,394x = 692,350,469,776
  5. Step 5: Solve for x
    x = 692,350,469,776/525,394
  6. Step 6: Final answer
    x = 1,317,773.84

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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.