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Finding the Third Proportional to 346,239.19 and 531,865.59

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Solution

The third proportional to 346,239.19 and 531,865.59 is: 817,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,239.19 : 531,865.59 = 531,865.59 : x
  2. Step 2: Convert to fraction form
    346,239.19/531,865.59 = 531,865.59/x
  3. Step 3: Cross multiply
    346,239.19x = 531,865.59 × 531,865.59
  4. Step 4: Simplify right side
    346,239.19x = 282,881,009,815.04
  5. Step 5: Solve for x
    x = 282,881,009,815.04/346,239.19
  6. Step 6: Final answer
    x = 817,010.38

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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.