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Finding the Third Proportional to 265,386 and 399,535.50

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Solution

The third proportional to 265,386 and 399,535.50 is: 601,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,386 : 399,535.50 = 399,535.50 : x
  2. Step 2: Convert to fraction form
    265,386/399,535.50 = 399,535.50/x
  3. Step 3: Cross multiply
    265,386x = 399,535.50 × 399,535.50
  4. Step 4: Simplify right side
    265,386x = 159,628,615,760.25
  5. Step 5: Solve for x
    x = 159,628,615,760.25/265,386
  6. Step 6: Final answer
    x = 601,495.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.