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Finding the Third Proportional to 544,281 and 858,164

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Solution

The third proportional to 544,281 and 858,164 is: 1,353,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,281 : 858,164 = 858,164 : x
  2. Step 2: Convert to fraction form
    544,281/858,164 = 858,164/x
  3. Step 3: Cross multiply
    544,281x = 858,164 × 858,164
  4. Step 4: Simplify right side
    544,281x = 736,445,450,896
  5. Step 5: Solve for x
    x = 736,445,450,896/544,281
  6. Step 6: Final answer
    x = 1,353,061.10

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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.