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Finding the Third Proportional to 575,319 and 862,546

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Solution

The third proportional to 575,319 and 862,546 is: 1,293,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,319 : 862,546 = 862,546 : x
  2. Step 2: Convert to fraction form
    575,319/862,546 = 862,546/x
  3. Step 3: Cross multiply
    575,319x = 862,546 × 862,546
  4. Step 4: Simplify right side
    575,319x = 743,985,602,116
  5. Step 5: Solve for x
    x = 743,985,602,116/575,319
  6. Step 6: Final answer
    x = 1,293,170.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.