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Finding the Third Proportional to 505,080 and 841,696

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Solution

The third proportional to 505,080 and 841,696 is: 1,402,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,080 : 841,696 = 841,696 : x
  2. Step 2: Convert to fraction form
    505,080/841,696 = 841,696/x
  3. Step 3: Cross multiply
    505,080x = 841,696 × 841,696
  4. Step 4: Simplify right side
    505,080x = 708,452,156,416
  5. Step 5: Solve for x
    x = 708,452,156,416/505,080
  6. Step 6: Final answer
    x = 1,402,653.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.