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Finding the Third Proportional to 245,146 and 506,036

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Solution

The third proportional to 245,146 and 506,036 is: 1,044,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,146 : 506,036 = 506,036 : x
  2. Step 2: Convert to fraction form
    245,146/506,036 = 506,036/x
  3. Step 3: Cross multiply
    245,146x = 506,036 × 506,036
  4. Step 4: Simplify right side
    245,146x = 256,072,433,296
  5. Step 5: Solve for x
    x = 256,072,433,296/245,146
  6. Step 6: Final answer
    x = 1,044,571.13

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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.