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Finding the Third Proportional to 270,931.50 and 402,475.50

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Solution

The third proportional to 270,931.50 and 402,475.50 is: 597,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,931.50 : 402,475.50 = 402,475.50 : x
  2. Step 2: Convert to fraction form
    270,931.50/402,475.50 = 402,475.50/x
  3. Step 3: Cross multiply
    270,931.50x = 402,475.50 × 402,475.50
  4. Step 4: Simplify right side
    270,931.50x = 161,986,528,100.25
  5. Step 5: Solve for x
    x = 161,986,528,100.25/270,931.50
  6. Step 6: Final answer
    x = 597,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.