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Finding the Third Proportional to 346,969.13 and 517,575.66

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Solution

The third proportional to 346,969.13 and 517,575.66 is: 772,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,969.13 : 517,575.66 = 517,575.66 : x
  2. Step 2: Convert to fraction form
    346,969.13/517,575.66 = 517,575.66/x
  3. Step 3: Cross multiply
    346,969.13x = 517,575.66 × 517,575.66
  4. Step 4: Simplify right side
    346,969.13x = 267,884,559,942.62
  5. Step 5: Solve for x
    x = 267,884,559,942.62/346,969.13
  6. Step 6: Final answer
    x = 772,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.