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Finding the Third Proportional to 423,373 and 583,219.50

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Solution

The third proportional to 423,373 and 583,219.50 is: 803,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,373 : 583,219.50 = 583,219.50 : x
  2. Step 2: Convert to fraction form
    423,373/583,219.50 = 583,219.50/x
  3. Step 3: Cross multiply
    423,373x = 583,219.50 × 583,219.50
  4. Step 4: Simplify right side
    423,373x = 340,144,985,180.25
  5. Step 5: Solve for x
    x = 340,144,985,180.25/423,373
  6. Step 6: Final answer
    x = 803,416.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.