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Finding the Third Proportional to 346,275 and 531,896.63

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Solution

The third proportional to 346,275 and 531,896.63 is: 817,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,275 : 531,896.63 = 531,896.63 : x
  2. Step 2: Convert to fraction form
    346,275/531,896.63 = 531,896.63/x
  3. Step 3: Cross multiply
    346,275x = 531,896.63 × 531,896.63
  4. Step 4: Simplify right side
    346,275x = 282,914,019,686.39
  5. Step 5: Solve for x
    x = 282,914,019,686.39/346,275
  6. Step 6: Final answer
    x = 817,021.21

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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.