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Finding the Third Proportional to 346,239.75 and 531,866.63

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Solution

The third proportional to 346,239.75 and 531,866.63 is: 817,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,239.75 : 531,866.63 = 531,866.63 : x
  2. Step 2: Convert to fraction form
    346,239.75/531,866.63 = 531,866.63/x
  3. Step 3: Cross multiply
    346,239.75x = 531,866.63 × 531,866.63
  4. Step 4: Simplify right side
    346,239.75x = 282,882,106,788.89
  5. Step 5: Solve for x
    x = 282,882,106,788.89/346,239.75
  6. Step 6: Final answer
    x = 817,012.22

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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.