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Finding the Third Proportional to 516,080 and 758,946

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Solution

The third proportional to 516,080 and 758,946 is: 1,116,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,080 : 758,946 = 758,946 : x
  2. Step 2: Convert to fraction form
    516,080/758,946 = 758,946/x
  3. Step 3: Cross multiply
    516,080x = 758,946 × 758,946
  4. Step 4: Simplify right side
    516,080x = 575,999,030,916
  5. Step 5: Solve for x
    x = 575,999,030,916/516,080
  6. Step 6: Final answer
    x = 1,116,104.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.