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Finding the Third Proportional to 348,384.50 and 509,133.50

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Solution

The third proportional to 348,384.50 and 509,133.50 is: 744,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,384.50 : 509,133.50 = 509,133.50 : x
  2. Step 2: Convert to fraction form
    348,384.50/509,133.50 = 509,133.50/x
  3. Step 3: Cross multiply
    348,384.50x = 509,133.50 × 509,133.50
  4. Step 4: Simplify right side
    348,384.50x = 259,216,920,822.25
  5. Step 5: Solve for x
    x = 259,216,920,822.25/348,384.50
  6. Step 6: Final answer
    x = 744,054.11

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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.