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Finding the Third Proportional to 346,319 and 531,960

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Solution

The third proportional to 346,319 and 531,960 is: 817,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,319 : 531,960 = 531,960 : x
  2. Step 2: Convert to fraction form
    346,319/531,960 = 531,960/x
  3. Step 3: Cross multiply
    346,319x = 531,960 × 531,960
  4. Step 4: Simplify right side
    346,319x = 282,981,441,600
  5. Step 5: Solve for x
    x = 282,981,441,600/346,319
  6. Step 6: Final answer
    x = 817,112.09

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