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Finding the Third Proportional to 245,234 and 528,034

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Solution

The third proportional to 245,234 and 528,034 is: 1,136,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,234 : 528,034 = 528,034 : x
  2. Step 2: Convert to fraction form
    245,234/528,034 = 528,034/x
  3. Step 3: Cross multiply
    245,234x = 528,034 × 528,034
  4. Step 4: Simplify right side
    245,234x = 278,819,905,156
  5. Step 5: Solve for x
    x = 278,819,905,156/245,234
  6. Step 6: Final answer
    x = 1,136,954.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.