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Finding the Third Proportional to 282,898.50 and 384,430.50

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Solution

The third proportional to 282,898.50 and 384,430.50 is: 522,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898.50 : 384,430.50 = 384,430.50 : x
  2. Step 2: Convert to fraction form
    282,898.50/384,430.50 = 384,430.50/x
  3. Step 3: Cross multiply
    282,898.50x = 384,430.50 × 384,430.50
  4. Step 4: Simplify right side
    282,898.50x = 147,786,809,330.25
  5. Step 5: Solve for x
    x = 147,786,809,330.25/282,898.50
  6. Step 6: Final answer
    x = 522,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.