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Finding the Third Proportional to 351,328.50 and 781,263

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Solution

The third proportional to 351,328.50 and 781,263 is: 1,737,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,328.50 : 781,263 = 781,263 : x
  2. Step 2: Convert to fraction form
    351,328.50/781,263 = 781,263/x
  3. Step 3: Cross multiply
    351,328.50x = 781,263 × 781,263
  4. Step 4: Simplify right side
    351,328.50x = 610,371,875,169
  5. Step 5: Solve for x
    x = 610,371,875,169/351,328.50
  6. Step 6: Final answer
    x = 1,737,325.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.