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Finding the Third Proportional to 346,678.25 and 532,633.25

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Solution

The third proportional to 346,678.25 and 532,633.25 is: 818,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,678.25 : 532,633.25 = 532,633.25 : x
  2. Step 2: Convert to fraction form
    346,678.25/532,633.25 = 532,633.25/x
  3. Step 3: Cross multiply
    346,678.25x = 532,633.25 × 532,633.25
  4. Step 4: Simplify right side
    346,678.25x = 283,698,179,005.56
  5. Step 5: Solve for x
    x = 283,698,179,005.56/346,678.25
  6. Step 6: Final answer
    x = 818,332.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.