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Finding the Third Proportional to 348,916.50 and 503,041.50

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Solution

The third proportional to 348,916.50 and 503,041.50 is: 725,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,916.50 : 503,041.50 = 503,041.50 : x
  2. Step 2: Convert to fraction form
    348,916.50/503,041.50 = 503,041.50/x
  3. Step 3: Cross multiply
    348,916.50x = 503,041.50 × 503,041.50
  4. Step 4: Simplify right side
    348,916.50x = 253,050,750,722.25
  5. Step 5: Solve for x
    x = 253,050,750,722.25/348,916.50
  6. Step 6: Final answer
    x = 725,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.