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Finding the Third Proportional to 348,389 and 509,140

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Solution

The third proportional to 348,389 and 509,140 is: 744,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,389 : 509,140 = 509,140 : x
  2. Step 2: Convert to fraction form
    348,389/509,140 = 509,140/x
  3. Step 3: Cross multiply
    348,389x = 509,140 × 509,140
  4. Step 4: Simplify right side
    348,389x = 259,223,539,600
  5. Step 5: Solve for x
    x = 259,223,539,600/348,389
  6. Step 6: Final answer
    x = 744,063.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.