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Finding the Third Proportional to 284,432.50 and 609,346.50

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Solution

The third proportional to 284,432.50 and 609,346.50 is: 1,305,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,432.50 : 609,346.50 = 609,346.50 : x
  2. Step 2: Convert to fraction form
    284,432.50/609,346.50 = 609,346.50/x
  3. Step 3: Cross multiply
    284,432.50x = 609,346.50 × 609,346.50
  4. Step 4: Simplify right side
    284,432.50x = 371,303,157,062.25
  5. Step 5: Solve for x
    x = 371,303,157,062.25/284,432.50
  6. Step 6: Final answer
    x = 1,305,417.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.