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Finding the Third Proportional to 458,041.50 and 602,322.75

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Solution

The third proportional to 458,041.50 and 602,322.75 is: 792,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,041.50 : 602,322.75 = 602,322.75 : x
  2. Step 2: Convert to fraction form
    458,041.50/602,322.75 = 602,322.75/x
  3. Step 3: Cross multiply
    458,041.50x = 602,322.75 × 602,322.75
  4. Step 4: Simplify right side
    458,041.50x = 362,792,695,167.56
  5. Step 5: Solve for x
    x = 362,792,695,167.56/458,041.50
  6. Step 6: Final answer
    x = 792,052.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.