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Finding the Third Proportional to 402,261.50 and 596,430.25

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Solution

The third proportional to 402,261.50 and 596,430.25 is: 884,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,261.50 : 596,430.25 = 596,430.25 : x
  2. Step 2: Convert to fraction form
    402,261.50/596,430.25 = 596,430.25/x
  3. Step 3: Cross multiply
    402,261.50x = 596,430.25 × 596,430.25
  4. Step 4: Simplify right side
    402,261.50x = 355,729,043,115.06
  5. Step 5: Solve for x
    x = 355,729,043,115.06/402,261.50
  6. Step 6: Final answer
    x = 884,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.