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Finding the Third Proportional to 544,196 and 858,030

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Solution

The third proportional to 544,196 and 858,030 is: 1,352,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,196 : 858,030 = 858,030 : x
  2. Step 2: Convert to fraction form
    544,196/858,030 = 858,030/x
  3. Step 3: Cross multiply
    544,196x = 858,030 × 858,030
  4. Step 4: Simplify right side
    544,196x = 736,215,480,900
  5. Step 5: Solve for x
    x = 736,215,480,900/544,196
  6. Step 6: Final answer
    x = 1,352,849.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.