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Finding the Third Proportional to 525,385 and 832,061

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Solution

The third proportional to 525,385 and 832,061 is: 1,317,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,385 : 832,061 = 832,061 : x
  2. Step 2: Convert to fraction form
    525,385/832,061 = 832,061/x
  3. Step 3: Cross multiply
    525,385x = 832,061 × 832,061
  4. Step 4: Simplify right side
    525,385x = 692,325,507,721
  5. Step 5: Solve for x
    x = 692,325,507,721/525,385
  6. Step 6: Final answer
    x = 1,317,748.90

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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.