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Finding the Third Proportional to 595,232.63 and 898,215.38

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Solution

The third proportional to 595,232.63 and 898,215.38 is: 1,355,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,232.63 : 898,215.38 = 898,215.38 : x
  2. Step 2: Convert to fraction form
    595,232.63/898,215.38 = 898,215.38/x
  3. Step 3: Cross multiply
    595,232.63x = 898,215.38 × 898,215.38
  4. Step 4: Simplify right side
    595,232.63x = 806,790,859,886.39
  5. Step 5: Solve for x
    x = 806,790,859,886.39/595,232.63
  6. Step 6: Final answer
    x = 1,355,421.10

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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.