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Finding the Third Proportional to 572,185.69 and 865,643.63

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Solution

The third proportional to 572,185.69 and 865,643.63 is: 1,309,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,185.69 : 865,643.63 = 865,643.63 : x
  2. Step 2: Convert to fraction form
    572,185.69/865,643.63 = 865,643.63/x
  3. Step 3: Cross multiply
    572,185.69x = 865,643.63 × 865,643.63
  4. Step 4: Simplify right side
    572,185.69x = 749,338,885,503.14
  5. Step 5: Solve for x
    x = 749,338,885,503.14/572,185.69
  6. Step 6: Final answer
    x = 1,309,607.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.