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Finding the Third Proportional to 357,287 and 568,730.50

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Solution

The third proportional to 357,287 and 568,730.50 is: 905,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,287 : 568,730.50 = 568,730.50 : x
  2. Step 2: Convert to fraction form
    357,287/568,730.50 = 568,730.50/x
  3. Step 3: Cross multiply
    357,287x = 568,730.50 × 568,730.50
  4. Step 4: Simplify right side
    357,287x = 323,454,381,630.25
  5. Step 5: Solve for x
    x = 323,454,381,630.25/357,287
  6. Step 6: Final answer
    x = 905,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.