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Finding the Third Proportional to 346,317 and 531,957

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Solution

The third proportional to 346,317 and 531,957 is: 817,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,317 : 531,957 = 531,957 : x
  2. Step 2: Convert to fraction form
    346,317/531,957 = 531,957/x
  3. Step 3: Cross multiply
    346,317x = 531,957 × 531,957
  4. Step 4: Simplify right side
    346,317x = 282,978,249,849
  5. Step 5: Solve for x
    x = 282,978,249,849/346,317
  6. Step 6: Final answer
    x = 817,107.59

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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.