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Finding the Third Proportional to 245,138 and 506,020

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Solution

The third proportional to 245,138 and 506,020 is: 1,044,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,138 : 506,020 = 506,020 : x
  2. Step 2: Convert to fraction form
    245,138/506,020 = 506,020/x
  3. Step 3: Cross multiply
    245,138x = 506,020 × 506,020
  4. Step 4: Simplify right side
    245,138x = 256,056,240,400
  5. Step 5: Solve for x
    x = 256,056,240,400/245,138
  6. Step 6: Final answer
    x = 1,044,539.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.